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30 December, 13:29

A rectangular prism has a base that is 4 m by 6 m and a height of 10 m. If all dimensions are doubled, what happens to the volume? Explain the steps that you take to arrive at your answer.

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  1. 30 December, 14:53
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    When the dimensions of a rectangular prism will be doubled, its volume won't only be doubled but it will be 8 times as much.

    The original volume of the rectangular prism is LxWxH.

    V = LxWxH

    V = (6m) (4m) (10m)

    V = 240m³

    If we double the dimensions, the volume would be

    V = 2L x 2W x 2H

    V = 2 x 6m x 2 x 4m x 2 x 10m

    V = 2 x 2 x 2 x 6m x 4m x 10m

    V = 2³ (6m x 4m x 10m)

    V = 2³ x 240m³

    V = 8 x 240m³

    V = 1920 m³

    The new volume now is 1,920 m³, which makes the rectangular prism larger than the original.
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