Mathematical Proof?

Question

A cuboid has a square base of side x cm.
The height of the cuboid is 1cm more than the length x cm.
The volume of the cuboid is 230cm^3.
Show that x^3 + x^2 = 230

Answer 1

The equation for volume of a cuboid (or rectangular prism) is height*width*length. It's length and width are equal, namely x. Its height is x+1. So we have x*x*(x+1)=230, or x^3+x^2=230.

Steve

Answer 2

area of the base is x^2

the height of cuboid is x+1

The volume is (x+1) *x^2 = x^3+x^2

And as youstated this is 230

so x^3+x^2 = 230

Answer 3

dunno