Question

An oblique prism with a square base of edge length x units has a volume of One-halfx3 cubic units. Which expression represents the height of the prism? x units One-halfx units 2x units xStartRoot 2 EndRoot units

Answer 1

1/2 x

Explanation:

Answer 2

`h=(1)/(2)x`

Explanation:

The volume of the mentioned object is

`V=B * h`

Where
`B` is the base area, which is defined
`B=x^(2)`, because the base is a square which side is
`x` units long.

Additionally, we know that the volume of the object is

`V=(1)/(2)x^(3)`

Replacing the first expression and the volume of the base, we have

`x^(2) * h=(1)/(2)x^(3)\\ h=(1)/(2)x`

Therefore, the expression that represents the height of the volume is

`h=(1)/(2)x`