A box in the shape of a rectangular prism has a volume of 6x^3+27x^2-15x. What are the dimensions of the box?

1 Answer
May 9, 2018

The box measures 3x by 2x- 1 by x + 5.

Explanation:

We can immediately factor out a 3x.

3x(2x^2 + 9x - 5)

Let's try and factor the trinomial now.

3x(2x^2 + 10x - x - 5)

3x(2x(x + 5) - (x + 5))

3x(2x - 1)(x + 5)

Therefore, the box measures 3x by 2x- 1 by x + 5.

Hopefully this helps!