Question

If the volume of the rectangular prism is represented by 6x^2-2x+8 and the base area is 2x-4, which expression represents the height

Answer 1

`height=(6x^2-2x+8)/(2x-4)`

Explanation:

Given equation of volume is
`6x^2-2x+8`. Also given that bsae area is

`2x-4`.

In a rectangular prism,

`volume =area of base*height`

So height would be ,

`(volume)/(areaofbase)`

On substituting we get ,

`height=(6x^2-2x+8)/(2x-4)`

First let us factorize
`6x^2-2x+8`.

`2(3x + 1)(x - 4)=6x^2-2x+8`

As 2x-4 is not an factor expression for height would be

`height=(6x^2-2x+8)/(2x-4)`