Question

What is the height and length of a rectangular box with a volume of 6x^2-600 with a width of 6

Answer 1

(x+10) and (x-10)

Explanation:

The volume of a rectangular box is defined as

Volume = width*height*length

In this case

Volume = 6x^2-600 = 6*(x^2 - 100)

And we also know,

Volume = (6)*height*length

So,

6*(x^2 - 100) = (6)*height*length

This means that

height*length = (x^2 - 100)

height*length = (x+10)*(x-10)