Question

The volume of a rectangular prism is (x^3-3x^2 +5x-3) and the area of its base is (x^2-2) if the volume of a rectangular prism is the product of its base area and height what is the height of the prism?

A)x-3 + 7x-9/x^2-2
B) x-3 + 7x-9/x^3 -3x^2+5x -3
C) x-3 + 7x +3 /x^2-2
D)x-3 + 7x+3/x^3-3x^2 +5x-3

Answer 1

option A.

Explanation:

We know that the volume of a rectangular prism is the product of its base area and height. That is to say:

Volume = Base Area x Height

Where: x^3-3x^2 +5x-3

Height: x^2-2

Volume =

Solving for "Height" we have:

Height = Volume / Base Area

Height = (x^3-3x^2 +5x-3) / (x^2-2)

Using ruffinis law we have that the solution is:

x-3 with a remainder of 7x-9

That is to say:

x-3 + (7x-9)/(x^2 - 2)

That is option A.