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 rectangula

Question

3 years ago

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r prism is the product of its base area and height, what is the height of the prism?

1 answer:

bixtya [17] · Answer 1 · 2022-02-06T20:49:57+03:00

3 0

Answer:

The height of the prism is equal to $h=(x^{3}-3x^{2}+5x-3)/(x^{2}-2)$

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

$V=Bh$

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

$V=x^{3}-3x^{2}+5x-3$

$B=x^{2}-2$

substitute in the formula and solve for h

$x^{3}-3x^{2}+5x-3=(x^{2}-2)h$

$h=(x^{3}-3x^{2}+5x-3)/(x^{2}-2)$