Question

The volume of a rectangular prism is (x³ − 3x² + 5x − 3), and the area of its base is (x² – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Answer 1

Answer: (x^3 - 3x^2 + 5x - 3)/(x^2 - 2)

Explanation:

It says the volume equals the height multiplied by the base area, or base area x height = volume. Because we are given the volume and the base area, we can plug in the values to get (x^2 - 2) x height = (x^3 - 3x^2 + 5x - 3). Finally, we can divide both sides by (x^2 - 2) to get height = (x^3 - 3x^2 + 5x - 3)/(x^2 - 2).