A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where x is the height in inches. What is the height of the box if the volume is 15 in.3?

There is a rectangular box with length x+2 in. , width x-2 in. , and height x in.

height = in.

Step-by-step explanation:

Given

Required

Find the height

The volume is calculated as thus:

This gives

Apply difference of two squares

Subtract 15 from both sides

Using a calculator to factorize, we have:

Split

or

or  

x has complex roots for

Hence:

Recall that:

ab: 2 n83b8eb7ebi. 8e yen in

the answer should be a. snail