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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
Step1: Find base area (square)
The base is a square with side length $x$, so area is $\text{Base Area} = x \times x = x^2$.
Step2: Identify prism height
The perpendicular height of the prism is $(x-2)$.
Step3: Calculate volume
Volume of a prism is $\text{Base Area} \times \text{Height}$, so $\text{Volume} = x^2 \times (x-2)$.
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$\boldsymbol{x^2(x-2)}$ cubic units