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Suppose you are measuring a moving box to see if it has enough room in it. The moving box is a cube, and the length of one side is 2 ft. long. What is the volume of the box?

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Solution:

Suppose you are measuring a moving box to see if it has enough room in it.

The moving box is a cube.

Given that the length of one side is 2 ft. long, i.e.


l=2\text{ ft}

To find the volume of a cube, the formula is


V=l^3

Substitute for l into the formula above


\begin{gathered} V=l^3=2^3=8\text{ ft}^3 \\ V=8\text{ ft}^3 \end{gathered}

Hence, the volume of the box is 8 ft³

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