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5 March, 05:22

A right rectangular prism has a volume of 48 ft3. Which of the following could not be the dimensions of the prism?

l = 2 ft, w = 2 ft, h = 12 ft

l = 2 ft, w = 4 ft, h = 6 ft

l = 3 ft, w = 2 ft, h = 8 ft

l = 4 ft, w = 3 ft, h = 3 ft

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  1. 5 March, 08:16
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    For a rectangular prism, V = lwh.

    First choice: 2*2*12 = 48, so this is possible.

    Second choice: 2*4*6 = 48, so this is possible.

    Third choice: 3*2*8 = 48, so this is also possible.

    Fourth choice: 4*3*3 = 36, so these cannot be the dimensions of the prism.

    The fourth choice is the correct answer.
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