Question

The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box is 3 inches. What is the area of the top of the box.

Answer 1

Answer: 110 square inches.

Step-by-step explanation:

The volume of a rectangular box would be:

$V=length*width*height$

In this case, we know the volume, the length and the height, and we don't know the width, so we're going to isolate it:

$width=\frac{V}{length*height}$

Substituting the data:

$width=\frac{330}{11*3} =10in$

This width is also the width of the top of the box, so the area of the top would be:

$A=length*width\\A=11*10\\A=110in^{2}$