Question

The volume of a rectangular prism is 6x^3 -x^2 -2x. Which model could represent the rectangular prism?

A. Height: 3x-2 Length: 2x+1 Width: x

B. Height: 3x+2 Length: 2x-1 Width: x

C. Height: 3x-2 Length: 2x-1 Width: x

D. Height: 2x-2 Length: 3x+1 Width: x

Answer 1

The formula of a volume of a rectangular prism: V = lwh

l - length

w - width

h - height

We have the volume:

`V=6x^3-x^2-2x=x(6x^2-x-2)=x(6x^2+3x-4x-2)\\\\=x[3x(2x+1)-2(2x+1)]=x(2x+1)(3x-2)\\\\Answer:\ \boxed{A.\ Height:3x-2,\ Length:2x+1,\ Width:x}`