Question

Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the

box?

18 in.

Use the formula W=Th, where l is the length of the prism, h is the height, V is the volume, and w is the width.

6 inches

9 inches

27 inches

81 inches

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Answer 1

W = 9 inches.

Explanation:

The volume of a rectangular prism is given by

`V=whl`

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

`486=w* 18* 3\\\\486=54w\\\\w=9\ \text{inches}`

So, the width of the box is 9 inches.