Question

The volume of the box is ___

Answer 1

`V=80x-36x^2+4x^3`

Explanation:

The volume of a box of dimensions a, b, c is:

V=abc

The box shown in the image has dimensions 8-2x, 10-2x, x, thus its volume is:

`V=(8-2x)(10-2x)(x)`

Operating the first two brackets:

`V=(80-16x-20x+4x^2)(x)`

Joining like terms:

`V=(80-36x+4x^2)(x)`

Multiplying again:

`V=80x-36x^2+4x^3`

The volume of the box is

`\boxed{V=80x-36x^2+4x^3}`