a shoe box has a length five times the height and a width that is eight more than the height. determine the volume of the shoe box

Question

a shoe box has a length five times the height and a width that is eight more than the height. determine the volume of the shoe box

Answer 1

A box is an example of a rectangular prism. The formula for volume of a rectangular prism is:

 

V = l x w x h, where l = length, w = width, and h = height

 

Let x = height

length = 5x

width = x + 8

 

V = x (5x)(x + 8) = 5x²(x + 8) = 5x³ + 40x²

 

Since no other info is given, the volume must be expressed in this form