Mensuration

Problem 1201

Find the length and width of a field with a perimeter of 92 m, where length is $16 \mathrm{~m}$ more than width.

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Problem 1202

Find the area difference between Latrice's $15$ inch and Nura's $13$ inch square posters in square inches.

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Problem 1203

Derek's house is 40x60 units. He wants to fence a 50x20 unit play area. Cost is \$10 per foot. What's the total cost?

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Problem 1204

Find the volume $V$ of a box formed by cutting squares of side $x$ from a 12 in. by 20 in. cardboard.

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Problem 1205

Calculate the area of a rectangle with length $\frac{29}{3}$ and width $\frac{89}{9}$ .

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Problem 1206

Find the volume of the solid. 2 yd 5 yd 4 yd 2 yd 5 yd 6 yd 6 yd

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Problem 1207

12-2 Solving Statics Problems (3 of 6 ) Example 12-4: Forces on a beam and supports. A uniform 1500-kg beam, 20.0 m long, supports a $15,000-\mathrm{kg}$ printing press 5.0 m from the right support column, as shown. Calculate the force on each end of the vertical support columns.

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Problem 1208

CC. 1 Surface area of cubes and prisms RFP
汶, A rectangular prism is shown below.

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Problem 1209

You make street signs. This morning, you need to make a triangular sign and a circular sign. The material used to make the signs costs $\$ 17.64$ per square foot. Based on the designs, the base of the triangular street sign is 3 feet, and the height is 2.6 feet. The circular street sign has a radius of 1.5 feet. What is the total cost to make the two signs? \$124.63 \$193.42 \$234.97 \$262.22 \$303.76

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Problem 1210

The soup pot is 8.5 inches tall with a radius of 4 inches.
What is the volume of the soup pot? Answer choices are rounded to the nearest cubic inch.

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Problem 1211

Given a cone with a height or radius of $18 \, \text{yd}$ , find the surface area and volume of the cone. Use the following formulas:
1. Surface Area ( $A$ ) of a cone: $ A = \pi r (r + \sqrt{h^2 + r^2}) \] where $r$ is the radius of the base and $h$ is the height.
2. Volume ( $V$ ) of a cone: $ V = \frac{1}{3} \pi r^2 h \]
Determine whether the given measurement of $18 \, \text{yd}$ is the radius or the height, and use it to calculate the surface area and volume. If only one measurement is given, assume it is the radius and provide the formulas for both scenarios.

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Problem 1212

12.) Earth's radius is approximately 4000 mi. About two-thirds of Earth's surface is covered by water. Estimate the land area on Earth.

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Problem 1213

Find the volume of the rectangular prism.

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Problem 1214

What is the area of the shaded part of the figure if $x=14 \mathrm{ft}$ ? Use 3.14 to approximate $\pi$ .
Area of a quarter circle $=\frac{1}{4} \pi x^{2}$ CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

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Problem 1215

Find the volume formula for a sphere with radius $n$ .

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Problem 1216

Find the dimensions of a rectangular garden that is $20 \mathrm{ft}$ longer than its width and has an area of $4125 \mathrm{ft}^{2}$ .

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Problem 1217

A rectangular room's width is 2 times its length, with a perimeter of 28 m. Find the dimensions rounded to two decimal places.

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Problem 1218

Sketch the figures for $4(x+3)$ and $4(x)+4(3)$ . Compare areas and write an equation showing their relationship.

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Problem 1219

How much fishing line (in cm) is needed to wind around a spool with area $20.0 \mathrm{~cm}^{2}$ for 10 turns?

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Problem 1220

Coco eats squares of areas 225, 225, 81, 36, 9, 9 cm². What was the longer side of the chocolate bar initially?

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Problem 1221

Find the area of a rectangle with a perimeter of 24 cm and length 3 times its breadth.

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Problem 1222

Find the volume and density of a wood block with mass 55.120 g, length 8.5 cm, height 4.3 cm, and width 3.3 cm.

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Problem 1223

Find the area of a rectangular bulletin board that is $1 \frac{1}{5} \mathrm{~m}$ wide and $2 \mathrm{~m}$ long.

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Problem 1224

A geostationary satellite orbits $35800 \mathrm{~km}$ above Earth. Answer these:
a) Sketch Earth and the satellite's path. b) Distance an equatorial observer travels in a day? c) Distance the satellite travels in a day to stay stationary? d) Speed difference between the satellite and the observer? Use $Velocity = \frac{\text{distance}}{\text{time}}$ .

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Problem 1225

Find $K L$ if points $K, L, M, N$ are in the ratio $3:1:1$ and $K N=20$ .

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Problem 1226

Maximize area with 480 ft of fencing for a lot bordered by a highway. What are the optimal dimensions?

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Problem 1227

5. Find the surface area of the whole pencil. $2.2$ $r = 0.5$ cm $15$ cm $2$ cm

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Problem 1228

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. 4 ft cubic feet Submit

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Problem 1229

Площа повної поверхні конуса дорівнюе 76т, а площа основи - 39т. Визначте площу бічної поверхні.

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Problem 1230

fotte-Mocklentburg Schools 7.The image shows quadrilateral $A B C D$ . a. A square is a quadrilateral with four equal sides and four 90 -degree angles. Is quadrilateral $A B C D$ a square? Explain or show your reasoning. b. Find the perimeter of $A B C D$ . Explain or show your reasoning. c. Find the area of $A B C D$ . Explain or show your reasoning.

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Problem 1231

A rectangular barn door needs to be painted. The door is 74 inches high and 50 inches wide. What is the area of the front of the door?
A 3,700 square inches
B 248 square inches
C 7,400 square inches
D 496 square inches

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Problem 1232

Name: Area of Composite Figures Date: Application \_\_\_\_\_\_\_\_\_\_\_\_\_\_ / 37
4. A decorator is painting this wall of a room. The wall is made up of a semicircle on top of a trapezoid, with a window that measures $1.0$ m by $2.0$ m is not painted $6.7$ m $2.0$ m $6.0$ m a) What is the area of the wall in square metres ( $1$ m $=$ $3.2808$ feet) [5A]
b) A container of paint can cover $45$ square feet. How many containers should the decorator buy? [3A]
b) How much will it cost including a $13\%$ tax if one container cost $\$27.99$ [2A]

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Problem 1233

Find the side length 'i' in inches of a square with area $326 \mathrm{~cm}^{2}$ . Use $326 \mathrm{~cm}^{2}=i^{2}$ .

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Problem 1234

Find the area of Sammy's rectangular walkway measuring $\frac{3}{5}$ feet by $\frac{4}{9}$ feet.

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Problem 1235

What is the area of a logo scaled from 1 inch by 1 inch to a shirt size using a scale of $1:8$ ?

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Problem 1236

Dr. Gordon's drawing is scaled $2 \mathrm{in}$ for every $100 \mathrm{ft}$ . Find the area of a 6 in. by 3.2 in. section.

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Problem 1237

Solve for $b_{2}$ in the trapezoid area formula: $A=\frac{1}{2} h(b_{1}+b_{2})$ .

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Problem 1238

Polygon $C$ has an area of 40. If Polygon $D$ is a scaled version with a scale factor of $\frac{1}{2}$ , find its area.

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Problem 1239

Find the lateral surface area and volume of the solid object shown below.
The base is a square.
The lateral surface area is $\square$ $\square$ (Round to the nearest whole number as needed.) The volume is $\square$ $\square$ (Round to the nearest whole number as needed.)

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Problem 1240

A cylindrical water heater has a total surface area of 4170 in $^{2}$ . If the height of the water heater is 89 in., find the radius. Use $\pi=3.14$ .
The radius of a cylindrical water heater is $\square$ (Round to the nearest inch.)

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Problem 1241

Identify the 3D shape shown below. Choose 1 answer. Cone Cylinder Rectangular prism

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Problem 1242

Question Find the circumference of a circle with radius 6 .

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Problem 1243

Find the area of the triangle defined by the vectors $\langle 4,8\rangle$ and $\langle-1,2\rangle$ . $\square$ square units (Type an integer or a fraction.)

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Problem 1244

The diagram shows a shaded ring formed by cutting a smaller circle out of a larger circle.
The radius of the smaller circle is 6 cm . The diameter of the larger circle is 15 cm .
Find the area of the shaded ring. .. $\mathrm{cm}^{2}$

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Problem 1245

9. A baby monitor picks up signals within a 50-meter radius. How many square meters of coverage does the dmaby monitor provide?

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Problem 1246

Diagram NOT accurately drawn
The diagram shows a solid cylinder and a solid sphere. The cylinder has radius $r$ . The sphere has radius $r$ . Given that $\frac{\text { Total surface area of cylinder }}{\text { Surface area of sphere }}=2$ find the value of Volume of cylinder Volume of sphere

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Problem 1247

Find the density of a liquid weighing $4.3 \times 10^{3} \mathrm{~g}$ in a tank measuring $14.3 \mathrm{~cm} \times 7.30 \mathrm{~cm} \times 72.0 \mathrm{~cm}$ in $\mathrm{Kg} / \mathrm{L}$ .

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Problem 1248

Find the dimensions of a rectangle with area $201 \frac{1}{4}$ sq miles and perimeter 58 miles.

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Problem 1249

Maximize the area of a rectangle with 400 yards of fencing. What are the dimensions and the maximum area?

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Problem 1250

Maximize the area of a rectangle using 260 m of fence along a river. What is the maximum area?

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Problem 1251

Tim has 42 feet of fencing for a rectangular yard. If length is twice the width, what is the largest length?

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Problem 1252

Find the dimensions of a rectangle with perimeter 40 inches, where width is 3 inches less than length.

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Problem 1253

Find the dimensions of a rectangle with a perimeter of 81 inches and length $L = 5W$ , where $W$ is the width.

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Problem 1254

Question 19 of 20 Next Question
Question 19
Miss Ross and Mr. Miller have homerooms with the same perimeter. Mr. Miller's homeroom has a width that is $1 \frac{1}{10}$ times the width of A Ross' homeroom.
What is the length, I, of Mr. Miller's homeroom?

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Problem 1255

3. Mrs. Gray's swimming pool is shaped like a rectangle with a perimeter of 108 feet. If the length of the pool is 36 feet, then what is the width?

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Problem 1256

The area of the triangle below is 34.04 square inches. What is the length of the base?

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Problem 1257

Question 6 (1 point)
Find the area of this trapezoid. a 55.2 inches cubed b 73.6 inches squared c 147.2 inches squared d 55.2 inches squared

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Problem 1258

Select the correct answer. Which combination of shapes could be used to model the piano will give the best estimate of its volume? A. 3 cones and a pentagonal prism B. 3 cylinders and a pentagonal prism C. 3 cylinders and a rectangular prism D. 3 cones and a rectangular prism

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Problem 1259

$V=$

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Problem 1260

Find the area of $\triangle W X Y$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $\square$ $m i^{2}$

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Problem 1261

4) Find the width of the rectangle.

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Problem 1262

Find the volume of a tank measuring $90 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}$ and its capacity in litres.

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Problem 1263

Find the volume of a tank measuring $90 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}$ and its capacity in litres.

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Problem 1264

Find the volume of a rectangular basin that is 7 ft long, 12 ft wide, and 4 ft high. Options: 228 ft³, 236 ft³, 336 ft³.

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Problem 1265

How much milk (in cubic inches) is needed for 3 guests if each glass is 6 inches tall and 3 inches in diameter? Use $\pi \approx 3.14$ .

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Problem 1266

Find the area of a rectangle with sides 2.5 m and 1.6 m. Round to the nearest tenth.

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Problem 1267

An ice cream cone with a 7 -centimeter diameter and 9-centimeter depth is filled exactly level with the top of the con Approximate how much ice cream (in cubic centimeters) is in the cone. Use $\frac{22}{7}$ for $\pi$ .
The cone contains about $\square$ cubic centimeters of ice cream. (Simplify your answer. Type a whole number, fraction, or mixed number.)

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Problem 1268

ectangular prism and its net are shown below. (All lengths are in centimeters.) (a) Find the following side lengths for the net. $\begin{aligned} A & =\square \mathrm{m} \\ B & =\square \mathrm{cm} \\ C & =\square \mathrm{cm} \\ D & =\square \mathrm{cm} \end{aligned}$

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Problem 1269

Find the volume of a cylinder with radius 21cm and height 100cm using $V = \pi r^2 h$ .

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Problem 1270

Find the area of a trapezoid fishpond with bases 10m and 7m using $A = \frac{1}{2}(10+7)h$ . Then, calculate the leftover area in a 15m by 20m backyard.

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Problem 1271

Graph the quadrilateral with points $S(-5,3)$ , $T(7,-2)$ , $U(7,-6)$ , and $V(-5,-6)$ , then calculate its perimeter.

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Problem 1272

Jenny has a cone (diameter $20 \mathrm{~cm}$ , slant height $60 \mathrm{~cm}$ ) and a pyramid (edges $4 \mathrm{~cm}$ ). Find the pyramid's surface area and how many pyramids can be made from the cone's volume.

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Problem 1273

Calculate the area of a shape with top 20 m, sides 18 m, bottom segments 5 m each, and a cut-out (base 10 m, height 5 m).

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Problem 1274

Erin's box is $3 \mathrm{~m}$ long, $1 \mathrm{~m}$ wide, and $1 \mathrm{~m}$ high. Fill it with hay at \ $14 per cubic meter. Cost?$ $\text{Cost} = \text{Volume} \times \text{Price per cubic meter}$ $

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Problem 1275

Calculate the surface area of a regular tetrahedron with edge length $a$ . Options: A. $6 a^{2}$ , B. $\sqrt{3} a^{2}$ , C. $2 \sqrt{3} a^{2}$ , D. $\frac{3 a^{2} \sqrt{3}}{4}$ .

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Problem 1276

Calculate the area by multiplying 138.2 km by 3.5 km. What is the product?

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Problem 1277

Calculate the area of a rectangle with dimensions $2500\, cm$ and $50\, cm$ .

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Problem 1278

Find the perimeter of a square park with area $25x^{2}+70x+49$ . What is the perimeter when $x=8$ ft?

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Problem 1279

3. Use the formulas to find the area and circumference of the circles.
Area:
Area: Circumference:

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Problem 1280

Whole Numbers Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending Shown below is a blueprint for a rectangular kennel at a pet hotel.
What is the total length of fencing needed to enclose the kennel? The total length needed is $\qquad$ feet.
The solution is

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Problem 1281

14. The shaded region represents the area of new tile being replaced on a patio. If each square foot of tile, costs $\$ 2.80$ , then how much will the tile cost?

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Problem 1282

27. What is the sector area of the shaded region of the circle shown? State the appropriate formula. SHOW ALL WORK!

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Problem 1283

Question Watch Video Show Examples
Find the volume of a pyramid with a square base, where the side length of the base is 4.6 m and the height of the pyramid is 7.2 m . Round your answer to the nearest tenth of a cubic meter.
Answer Attempt 4 out of 5 50.7 $\mathrm{m}^{3}$ Submit Answer

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Problem 1284

7) $94.6 \mathrm{~m}^{3}$ 9) $3801.3 \mathrm{ft}^{3}$ 8) $30 \mathrm{mi}^{3}$ 10)
270 km ${ }^{3}$

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Problem 1285

How much water (in cubic inches) should Mary pour into her cylinder vase with radius 4 in and height 10 in to fill it $\frac{3}{4}$ full?

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Problem 1286

The flag's length is $2 \frac{2}{5}$ times its width. If the width is $4 \frac{1}{2}$ ft, find the length.

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Problem 1287

Find the mass of a gas in a tank measuring $27.0 \mathrm{~cm} \times 7.0 \mathrm{~cm} \times 11.25 \mathrm{~cm}$ with density $0.020 \mathrm{~g/mL}$ .

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Problem 1288

Calculate the area of a parallelogram with base 12 in and height 8 in using the formula $Area = base \times height$ .

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Problem 1289

Find the height of a rectangle with area $28 \mathrm{ft}^{2}$ and base $7 \mathrm{ft}$ . What is $h$ ?

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Problem 1290

Find the height of a rectangle with area $32 \mathrm{~cm}^{2}$ and base $8 \mathrm{~cm}$ . What is $h$ ?

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Problem 1291

Find the missing base of the parallelogram with area $A=576 \mathrm{~cm}^{2}$ and height $h=48 \mathrm{~cm}$ .

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Problem 1292

Creative Section - A
4. a) Sketch a tower of height 45 m according to the scale of 1 cm to 9 m . b) The actual length and breadth of a rectangular play ground are 40 m and

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Problem 1293

Work out the volume of the cylindrical tin of paint below. Give your answer in terms of $\pi$ .

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Problem 1294

Calculate the perimeter of the rectangle formed by the points $(1,3)$ , $(1,5)$ , and $(8,3)$ .

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Problem 1295

Calculate the perimeter of the polygon with vertices at $(1,2)$ , $(1,5)$ , $(8,2)$ , and $(8,5)$ .

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Problem 1296

Calculate the area of a rectangle with vertices at $(1,2)$ , $(1,4)$ , $(7,2)$ , and $(7,4)$ .

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Problem 1297

as default
Solve the problem. Hint: remember to convert feet to yards (3 feet equals 1 yard) 3) The Smith family plans to carpet their new family room, which is 30 feet long and 21 feet wide. The carpeting costs $\$ 13$ per square yard. How many square yards will the family need and what will be the total cost for the carpeting? A) $70 \mathrm{ft} 2 ; \$ 2730$ B) $70 \mathrm{yd} 2 ; \$ 910$ C) $17 \mathrm{yd} 2 ; \$ 221$ D) $630 \mathrm{yd} 2 ; \$ 8190$ Question 4

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Problem 1298

Column A
1. $\qquad$ Perimeter formula for a regular Pentagon with side length S .
2. $\qquad$ Perimeter formula for a Rectangle.
3. $\qquad$ Perimeter formula for a Square with side length S .
4. $\qquad$ Perimeter formula for a regular tecagon with side length $S$ .
5. $\qquad$ Perimeter formula for any polygon.
Column B a. $P=10 \mathrm{~s}$ b. $P=4 s$ c. $P=2 l+2 w$ d. $P=$ sum of all side lengths. e. $P=5 s$

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Problem 1299

M4|L14 Fractional Lengths in Triangles and Prisms Sign out
What is the volume of the rectangular prism in cubic inches?
The volume of the rectangular prism is ... cubic inches. 12 3 4 5 7 0 . Enter

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Problem 1300

Annie wants to cover a damaged portion of her patio with an outdoor carpet. The damaged portion she wants to cover is 2.75 yards long and 2.25 yards wide. She found an online company that makes rectangular carpets whose dimensions can be any whole-foot increments. Annie wants to order the smallest carpet she can that will still completely cover the damaged portion of her patio.
What is the area of the carpet Annie should order? $\square$ square feet

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1 ...10 11 12 13 14

Mensuration

Problem 1201

Find the length and width of a field with a perimeter of 92 m, where length is 16 m16 \mathrm{~m}16 m more than width.

Problem 1202

Find the area difference between Latrice's 151515 inch and Nura's 131313 inch square posters in square inches.

Problem 1203

Derek's house is 40x60 units. He wants to fence a 50x20 unit play area. Cost is \$10 per foot. What's the total cost?

Problem 1204

Find the volume VVV of a box formed by cutting squares of side xxx from a 12 in. by 20 in. cardboard.

Problem 1205

Calculate the area of a rectangle with length 293\frac{29}{3}329​ and width 899\frac{89}{9}989​.

Problem 1206

Find the volume of the solid. 2 yd 5 yd 4 yd 2 yd 5 yd 6 yd 6 yd

Problem 1207

Problem 1208

CC. 1 Surface area of cubes and prisms RFP汶, A rectangular prism is shown below.

Problem 1209

Problem 1210

The soup pot is 8.5 inches tall with a radius of 4 inches.What is the volume of the soup pot? Answer choices are rounded to the nearest cubic inch.

Problem 1211

Problem 1212

12.) Earth's radius is approximately 4000 mi. About two-thirds of Earth's surface is covered by water. Estimate the land area on Earth.

Problem 1213

Find the volume of the rectangular prism.

Problem 1214

What is the area of the shaded part of the figure if x=14ftx=14 \mathrm{ft}x=14ft ? Use 3.14 to approximate π\piπ.Area of a quarter circle =14πx2=\frac{1}{4} \pi x^{2}=41​πx2 CLEAR CHECK □\square□ ft2\mathrm{ft}^{2}ft2

Problem 1215

Find the volume formula for a sphere with radius nnn.

Problem 1216

Find the dimensions of a rectangular garden that is 20ft20 \mathrm{ft}20ft longer than its width and has an area of 4125ft24125 \mathrm{ft}^{2}4125ft2.

Problem 1217

A rectangular room's width is 2 times its length, with a perimeter of 28 m. Find the dimensions rounded to two decimal places.

Problem 1218

Sketch the figures for 4(x+3)4(x+3)4(x+3) and 4(x)+4(3)4(x)+4(3)4(x)+4(3). Compare areas and write an equation showing their relationship.

Problem 1219

How much fishing line (in cm) is needed to wind around a spool with area 20.0 cm220.0 \mathrm{~cm}^{2}20.0 cm2 for 10 turns?

Problem 1220

Coco eats squares of areas 225, 225, 81, 36, 9, 9 cm². What was the longer side of the chocolate bar initially?

Problem 1221

Find the area of a rectangle with a perimeter of 24 cm and length 3 times its breadth.

Problem 1222

Find the volume and density of a wood block with mass 55.120 g, length 8.5 cm, height 4.3 cm, and width 3.3 cm.

Problem 1223

Find the area of a rectangular bulletin board that is 115 m1 \frac{1}{5} \mathrm{~m}151​ m wide and 2 m2 \mathrm{~m}2 m long.

Problem 1224

Problem 1225

Find KLK LKL if points K,L,M,NK, L, M, NK,L,M,N are in the ratio 3:1:13:1:13:1:1 and KN=20K N=20KN=20.

Problem 1226

Maximize area with 480 ft of fencing for a lot bordered by a highway. What are the optimal dimensions?

Problem 1227

5. Find the surface area of the whole pencil. 2.22.22.2 r=0.5r = 0.5r=0.5 cm 151515 cm 222 cm

Problem 1228

What is the volume of this sphere? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. 4 ft cubic feet Submit

Problem 1229

Площа повної поверхні конуса дорівнюе 76т, а площа основи - 39т. Визначте площу бічної поверхні.

Problem 1230

Problem 1231

A rectangular barn door needs to be painted. The door is 74 inches high and 50 inches wide. What is the area of the front of the door?A 3,700 square inchesB 248 square inchesC 7,400 square inchesD 496 square inches

Problem 1232

Problem 1233

Find the side length 'i' in inches of a square with area 326 cm2326 \mathrm{~cm}^{2}326 cm2. Use 326 cm2=i2326 \mathrm{~cm}^{2}=i^{2}326 cm2=i2.

Problem 1234

Find the area of Sammy's rectangular walkway measuring 35\frac{3}{5}53​ feet by 49\frac{4}{9}94​ feet.

Problem 1235

What is the area of a logo scaled from 1 inch by 1 inch to a shirt size using a scale of 1:81:81:8?

Problem 1236

Dr. Gordon's drawing is scaled 2in2 \mathrm{in}2in for every 100ft100 \mathrm{ft}100ft. Find the area of a 6 in. by 3.2 in. section.

Problem 1237

Solve for b2b_{2}b2​ in the trapezoid area formula: A=12h(b1+b2)A=\frac{1}{2} h(b_{1}+b_{2})A=21​h(b1​+b2​).

Problem 1238

Polygon CCC has an area of 40. If Polygon DDD is a scaled version with a scale factor of 12\frac{1}{2}21​, find its area.

Problem 1239

Find the lateral surface area and volume of the solid object shown below.The base is a square.The lateral surface area is □\square□ □\square□ (Round to the nearest whole number as needed.) The volume is □\square□ □\square□ (Round to the nearest whole number as needed.)

Problem 1240

A cylindrical water heater has a total surface area of 4170 in 2^{2}2. If the height of the water heater is 89 in., find the radius. Use π=3.14\pi=3.14π=3.14.The radius of a cylindrical water heater is □\square□ (Round to the nearest inch.)

Problem 1241

Identify the 3D shape shown below. Choose 1 answer. Cone Cylinder Rectangular prism

Problem 1242

Question Find the circumference of a circle with radius 6 .

Problem 1243

Find the length and width of a field with a perimeter of 92 m, where length is $16 \mathrm{~m}$ more than width.

Find the area difference between Latrice's $15$ inch and Nura's $13$ inch square posters in square inches.

Find the volume $V$ of a box formed by cutting squares of side $x$ from a 12 in. by 20 in. cardboard.

Calculate the area of a rectangle with length $\frac{29}{3}$ and width $\frac{89}{9}$ .

CC. 1 Surface area of cubes and prisms RFP
汶, A rectangular prism is shown below.

The soup pot is 8.5 inches tall with a radius of 4 inches.
What is the volume of the soup pot? Answer choices are rounded to the nearest cubic inch.

What is the area of the shaded part of the figure if $x=14 \mathrm{ft}$ ? Use 3.14 to approximate $\pi$ .
Area of a quarter circle $=\frac{1}{4} \pi x^{2}$ CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

Find the volume formula for a sphere with radius $n$ .

Find the dimensions of a rectangular garden that is $20 \mathrm{ft}$ longer than its width and has an area of $4125 \mathrm{ft}^{2}$ .

Sketch the figures for $4(x+3)$ and $4(x)+4(3)$ . Compare areas and write an equation showing their relationship.

How much fishing line (in cm) is needed to wind around a spool with area $20.0 \mathrm{~cm}^{2}$ for 10 turns?

Find the area of a rectangular bulletin board that is $1 \frac{1}{5} \mathrm{~m}$ wide and $2 \mathrm{~m}$ long.

Find $K L$ if points $K, L, M, N$ are in the ratio $3:1:1$ and $K N=20$ .

5. Find the surface area of the whole pencil. $2.2$ $r = 0.5$ cm $15$ cm $2$ cm

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. 4 ft cubic feet Submit

A rectangular barn door needs to be painted. The door is 74 inches high and 50 inches wide. What is the area of the front of the door?
A 3,700 square inches
B 248 square inches
C 7,400 square inches
D 496 square inches

Find the side length 'i' in inches of a square with area $326 \mathrm{~cm}^{2}$ . Use $326 \mathrm{~cm}^{2}=i^{2}$ .

Find the area of Sammy's rectangular walkway measuring $\frac{3}{5}$ feet by $\frac{4}{9}$ feet.

What is the area of a logo scaled from 1 inch by 1 inch to a shirt size using a scale of $1:8$ ?

Dr. Gordon's drawing is scaled $2 \mathrm{in}$ for every $100 \mathrm{ft}$ . Find the area of a 6 in. by 3.2 in. section.

Solve for $b_{2}$ in the trapezoid area formula: $A=\frac{1}{2} h(b_{1}+b_{2})$ .

Polygon $C$ has an area of 40. If Polygon $D$ is a scaled version with a scale factor of $\frac{1}{2}$ , find its area.

Find the lateral surface area and volume of the solid object shown below.
The base is a square.
The lateral surface area is $\square$ $\square$ (Round to the nearest whole number as needed.) The volume is $\square$ $\square$ (Round to the nearest whole number as needed.)

A cylindrical water heater has a total surface area of 4170 in $^{2}$ . If the height of the water heater is 89 in., find the radius. Use $\pi=3.14$ .
The radius of a cylindrical water heater is $\square$ (Round to the nearest inch.)

Find the area of the triangle defined by the vectors $\langle 4,8\rangle$ and $\langle-1,2\rangle$ . $\square$ square units (Type an integer or a fraction.)

The diagram shows a shaded ring formed by cutting a smaller circle out of a larger circle.
The radius of the smaller circle is 6 cm . The diameter of the larger circle is 15 cm .
Find the area of the shaded ring. .. $\mathrm{cm}^{2}$

Find the density of a liquid weighing $4.3 \times 10^{3} \mathrm{~g}$ in a tank measuring $14.3 \mathrm{~cm} \times 7.30 \mathrm{~cm} \times 72.0 \mathrm{~cm}$ in $\mathrm{Kg} / \mathrm{L}$ .

Find the dimensions of a rectangle with area $201 \frac{1}{4}$ sq miles and perimeter 58 miles.

Find the dimensions of a rectangle with a perimeter of 81 inches and length $L = 5W$ , where $W$ is the width.

Question 19 of 20 Next Question
Question 19
Miss Ross and Mr. Miller have homerooms with the same perimeter. Mr. Miller's homeroom has a width that is $1 \frac{1}{10}$ times the width of A Ross' homeroom.
What is the length, I, of Mr. Miller's homeroom?

Question 6 (1 point)
Find the area of this trapezoid. a 55.2 inches cubed b 73.6 inches squared c 147.2 inches squared d 55.2 inches squared

$V=$

Find the area of $\triangle W X Y$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth. $\square$ $m i^{2}$

Find the volume of a tank measuring $90 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}$ and its capacity in litres.

Find the volume of a tank measuring $90 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}$ and its capacity in litres.

How much milk (in cubic inches) is needed for 3 guests if each glass is 6 inches tall and 3 inches in diameter? Use $\pi \approx 3.14$ .

Find the volume of a cylinder with radius 21cm and height 100cm using $V = \pi r^2 h$ .

Find the area of a trapezoid fishpond with bases 10m and 7m using $A = \frac{1}{2}(10+7)h$ . Then, calculate the leftover area in a 15m by 20m backyard.

Graph the quadrilateral with points $S(-5,3)$ , $T(7,-2)$ , $U(7,-6)$ , and $V(-5,-6)$ , then calculate its perimeter.

Jenny has a cone (diameter $20 \mathrm{~cm}$ , slant height $60 \mathrm{~cm}$ ) and a pyramid (edges $4 \mathrm{~cm}$ ). Find the pyramid's surface area and how many pyramids can be made from the cone's volume.