Question

A rectangular prism has a base with side lengths x and x+3, and a height 2x. What is the surface area & volume of the prism?

Answer 1

The surface area of the prism is given by:
Area=2(x*2x)+2(x(x+3))+2(2x(x+3))
=4x^2+2x^2+6x+4x^2+12x
=10x^2+18x sq. units

The volume will be given by:
V=length*width*height
=2x*x*(x+3)
=2x^3+6x^2 cubic units