Question

A rectangular prism with a volume of 5x + 13x² + 6x cubic units has a base area of x² + 2x square units. Find the height of the rectangular prism.

The height of the prism is units.
(Simplify your answer)

Answer 1

h = 5x + 3

Explanation:

I believe the volume should be
`5x^(3) + 13x^(2) + 6x` in the question. Based on the correction:

`V = 5x^(3) + 13x^(2) + 6x\\A = x^(2) + 2x\\V = A.h\\h = (V)/(A) = (5x^(3) + 13x^(2) + 6x)/(x^(2) + 2x) = (x(5x^(2)+13x+6)/(x(x+2))=(5x^(2)+13x+6)/(x+2) = ((x+2)(5x+3))/(x+2) = 5x+3`