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

The answer is A

Explanation:

The way that you get this answer is by divided x2 to x3 and you get x and then you multiply x to x2-2 and you get x3-2x and the you subtract that from x3-3x2+5x-3 and then you repeat that process and the final answer is x-3 + 7x-9/x2-2

Answer 2

height = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Explanation:

We know that the volume of a rectangular prism is the product of its base area and height

Volume_prism = area_base * height

height = Volume_prism / area_base

Volume_prism = (x^3 – 3x^2 + 5x – 3)

area_base = (x^2 – 2)

height = Volume_prism / area_base

height = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Please see attached image