Question

Find the volume of a box with a height that is 4 inches less than the

length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism:V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)

Answer 1

Volume of a rectangular prism = x^3 - 4x^2

Explanation:

V = L*W*H

Where,

V= Volume of a rectangular prism

L= Length

W= Width

H= height

Volume of a rectangular prism= Length × Width × Height

Let

length of the box = x

width = length

Width = x

Height= x - 4

Volume of a rectangular prism= Length × Width × Height

= x * x * (x - 4)

= x^2 * (x - 4)

= x^3 - 4x^2

Volume of a rectangular prism = x^3 - 4x^2