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17 September, 08:52

A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?

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  1. 17 September, 09:36
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    The volume of the square prism is equal to the volume of the cylinder.

    Step-by-step explanation:

    Data

    The area of the cross-section of the square prism is 157 square units The area of the cross-section of the cylinder is 50π square units. Same height

    The volume of these two shapes is computed as follows:

    Volume of square prism: area of the cross-section*height = 157*height cubic units

    Volume of cylinder: area of the cross-section*height = 50π*height cubic units

    Dividing them, we get:

    Volume of square prism/Volume of cylinder = 157/50π ≈ 1
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