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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

User Zorox
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Answer:

x²(x-2) or x²(x+1)

Explanation:

Even though the figure showing the prism is missing, we can already make a few assumptions about how to answer the question.

It tells us that it is an oblique square prism. Using this information, we can assume that of the dimensions (length, width and height), length and width are assumed to be equal.

If the unknown dimensions needed to calculate volume are written as:

Volume = X x Y x Z (and length and width are the same, we can simplify)

Volume = X² x Z

Hence we need a in our answer.

In order to narrow it down between the two remaining options, the diagram is needed. If the height is shorter than the length, then the answer would be x²(x-2), however if the height is longer than the length, then the answer would be x²(x+1).

User Philk
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