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 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

The product of the length, width, and height is the volume.

 

Let height = x

Let length = 5x

Let width = x + 8

 

Using these variables, we can write an equation that represents the volume.

 

Volume = x(5x)(x + 8)

Volume = 5x²(x + 8)

Volume = 5x³ + 40x²