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

Answer:

$h=\frac{1}{2}x$

Step-by-step explanation:

The volume of the mentioned object is

$V=B \times h$

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

$V=\frac{1}{2}x^{3}$

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

$x^{2} \times h=\frac{1}{2}x^{3}\\ h=\frac{1}{2}x$

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

$h=\frac{1}{2}x$

Answer 2

Answer:

1/2 x

Step-by-step explanation: