Question

The area of the bottom of a shoebox can be written as A(x) = 2x2 - 4 and the height of the shoebox can be written as h(x) = 3x + 2. Write an expression to represent the volume V(x) of the shoebox.

Answer 1

V=6x^3+4x^2-12x-8 is the answer

Answer 2

V=A(x)*h(x) in this case so:

V=(2x^2-4)(3x+2)

V=6x^3+4x^2-12x-8