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QuestionFind the length of a water tank (858 ft³) with width 8.3ft8.3 \mathrm{ft} and height 6.5ft6.5 \mathrm{ft}. Round to nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The water tank is in the shape of a right rectangular prism. . The volume of the tank is858 cubic feet.
3. The width of the tank is8.3 feet.
4. The height of the tank is6.5 feet.
5. We need to find the length of the tank.

STEP 2

We know that the volume of a right rectangular prism is given by the formulaVolume=LengthtimesWidthtimesHeightVolume = Length \\times Width \\times Height

STEP 3

We can rearrange the formula to solve for the lengthLength=VolumeWidthtimesHeightLength = \frac{Volume}{Width \\times Height}

STEP 4

Now, plug in the given values for the volume, width, and height to calculate the length.
Length=858 cubic feet8.3 feettimes6. feetLength = \frac{858 \, cubic \, feet}{8.3 \, feet \\times6. \, feet}

STEP 5

First, calculate the denominator8.3 feettimes.5 feet=53.95 square feet8.3 \, feet \\times.5 \, feet =53.95 \, square \, feet

STEP 6

Now, divide the volume by the calculated value to find the length.
Length=858 cubic feet53.95 square feetLength = \frac{858 \, cubic \, feet}{53.95 \, square \, feet}

STEP 7

Calculate the length of the tank.
Length=858 cubic feet53.95 square feet≈15.9 feetLength = \frac{858 \, cubic \, feet}{53.95 \, square \, feet} \approx15.9 \, feetThe length of the water tank is approximately15.9 feet.

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