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QuestionFind the volume of a box with dimensions 6 in, 7 in, 8 in in liters. (2.54 cm = 1 in). Also, convert 80 m/s to mph.

Studdy Solution

STEP 1

Assumptions1. The length of the box is6.00 in. . The width of the box is7.00 in.
3. The height of the box is8.00 in.
4. The conversion factor from inches to cm is1 in =.54 cm.
5. The conversion factor from cm to liters is1 cm³ =0.001 L.

STEP 2

First, we need to find the volume of the box in cubic inches. We can do this by multiplying the length, width, and height of the box.
Volumein=Lengthin×Widthin×HeightinVolume_{in} = Length_{in} \times Width_{in} \times Height_{in}

STEP 3

Now, plug in the given values for the length, width, and height to calculate the volume in cubic inches.
Volumein=6.00 in×7.00 in×8.00 inVolume_{in} =6.00\, in \times7.00\, in \times8.00\, in

STEP 4

Calculate the volume in cubic inches.
Volumein=6.00 in×7.00 in×8.00 in=336.00 in3Volume_{in} =6.00\, in \times7.00\, in \times8.00\, in =336.00\, in^3

STEP 5

Now, we need to convert the volume from cubic inches to cubic centimeters. We can do this by multiplying the volume in cubic inches by the conversion factor from inches to cm.
Volumecm=Volumein×(2.54 cm/in)3Volume_{cm} = Volume_{in} \times (2.54\, cm/in)^3

STEP 6

Plug in the values for the volume in cubic inches and the conversion factor to calculate the volume in cubic centimeters.
Volumecm=336.00 in3×(2.54 cm/in)3Volume_{cm} =336.00\, in^3 \times (2.54\, cm/in)^3

STEP 7

Calculate the volume in cubic centimeters.
Volumecm=336.00 in3×(2.54 cm/in)3=550.16 cm3Volume_{cm} =336.00\, in^3 \times (2.54\, cm/in)^3 =550.16\, cm^3

STEP 8

Now, we need to convert the volume from cubic centimeters to liters. We can do this by multiplying the volume in cubic centimeters by the conversion factor from cm to liters.
Volume=Volumecm×0.001 L/cm3Volume_{} = Volume_{cm} \times0.001\, L/cm^3

STEP 9

Plug in the values for the volume in cubic centimeters and the conversion factor to calculate the volume in liters.
Volume=5508.16 cm3×.001 L/cm3Volume_{} =5508.16\, cm^3 \times.001\, L/cm^3

STEP 10

Calculate the volume in liters.
Volume=5508.16 cm3×0.001 L/cm3=5.51 LVolume_{} =5508.16\, cm^3 \times0.001\, L/cm^3 =5.51\, LThe volume of the box is5.51 liters.

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