Math

QuestionFind the length of a water tank (1700 ft³, width 10.5 ft, height 9.2 ft). Round to the nearest tenth.

Studdy Solution

STEP 1

Assumptions1. The water tank is in the shape of a right rectangular prism. . The volume of the tank is1700 cubic feet.
3. The width of the tank is10.5 feet.
4. The height of the tank is9. feet.
5. We need to find the length of the tank.

STEP 2

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=Volume/(WidthtimesHeight)Length = Volume / (Width \\times Height)

STEP 4

Now, plug in the given values for the volume, width, and height to calculate the length.
Length=1700/(10.times9.2)Length =1700 / (10. \\times9.2)

STEP 5

Calculate the value inside the parentheses.
Length=1700/96.Length =1700 /96.

STEP 6

Calculate the length of the tank.
Length=17.6feetLength =17.6 \, feetThe length of the water tank is approximately17.6 feet.

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