ShmoopTube

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Here's your shmoop du jour, brought to you by Prisms. Where shapes go when they break the law.

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A rectangular prisms length is twice its width, and its height is three times its width.

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If the volume of the prism is 3,072, what is the height?

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And here are your potential answers...

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We are first told that were dealing with a rectangular prism, so certain images should

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immediately come to mind.

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With any of these things, the total volume

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is measured by the length times width times height. Using the values from this problem,

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we are given: width, which we can label as x

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length, which equals 2 times width or 2x and height, which equals 3 times width or 3x.

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If we multiply them all together, we get 6x

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cubed, which is the volume and which we are told equals 3,072.

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We first divide 3,072 by 6, we get 512. Then what times what times what is 512

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8 times 8 = 64 times 8 is 512. X=8

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Well they ask for the height.

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All we have to do is multiply x, the width, by 3 the height to get 24, which means

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B is the correct answer.

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