Question

an oblique square prism is shown. which expression represents the volume of the prism? x(x - 2) cubic units x(x +1) cubic units x²(x - 2) cubic units x²(x +1) cubic units

Explanation:

Step1: Recall volume formula for prism

The volume formula for a prism is $V = Bh$, where $B$ is the base - area and $h$ is the height.

Step2: Calculate the base - area

The base of the square prism is a square with side - length $x$. So, the base - area $B=x\times x=x^{2}$.

Step3: Identify the height

The height of the prism is $(x - 2)$.

Step4: Calculate the volume

Using the volume formula $V = Bh$, we substitute $B = x^{2}$ and $h=(x - 2)$. So, $V=x^{2}(x - 2)$.

Answer:

$x^{2}(x - 2)$ cubic units