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?
Accepted Solution
A:
Answer:height = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)Step-by-step explanation:We know that the volume of a rectangular prism is the product of its base area and heightVolume_prism = area_base * heightheight = Volume_prism / area_baseVolume_prism = (x^3 – 3x^2 + 5x – 3)area_base = (x^2 – 2) height = Volume_prism / area_baseheight = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)Please see attached image