## Related questions with answers

Question

A tank is in the shape of a cube with edge length of 6 feet. Find the number of cubic feet of water needed to fill the tank. Then find the number of cubic yards of water needed to fill the tank. (Hint: 3 ft = 1yd)

Solution

VerifiedStep 1

1 of 2The volume of a cube with edge length $e$ is given by:

$V=e^3$

Given that $e=6$ ft, the number of cubic feet of water needed to fill the tank is:

$V=6^3$

$V=\color{#c34632}216\text{ ft}^3$

In cubic yards,

$V=216\text{ ft}^3\times \dfrac{(1\text{ yd})^3}{(3\text{ ft})^3}=\color{#c34632}8\text{ yd}^3$

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