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QuestionFind the height of a water tank (rectangular prism) with volume 136 ft³, length 8.1 ft, width 4.1 ft.

Studdy Solution

STEP 1

Assumptions1. The water tank is in the form of a right rectangular prism. . The volume of the tank is136 cubic feet.
3. The length of the tank is8.1 feet.
4. The width of the tank is4.1 feet.
5. We need to find the height of the tank.

STEP 2

The volume of a right rectangular prism is given by the formulaVolume=Length×Width×HeightVolume = Length \times Width \times Height

STEP 3

We can rearrange the formula to solve for the heightHeight=VolumeLength×WidthHeight = \frac{Volume}{Length \times Width}

STEP 4

Now, plug in the given values for the volume, length, and width to calculate the height.
Height=136 ft38.1 ft×4.1 ftHeight = \frac{136 \,ft^3}{8.1\,ft \times4.1\,ft}

STEP 5

Calculate the height of the tank.
Height=136 ft38.1 ft×4.1 ft=4.1 ftHeight = \frac{136 \,ft^3}{8.1\,ft \times4.1\,ft} =4.1\,ftThe height of the water tank is approximately4.1 feet.

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