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11 November, 05:11

The base of a rectangular prism has an area of 24 square millimeters. The volume of the prism is 144 cubic millimeters. The shape is a cube. What is the height of the prism?

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  1. 11 November, 07:27
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    height = 6 mm

    Step-by-step explanation:

    The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.

    The height of the prism can be solved as follows.

    Volume of the rectangular prism = Bh

    where

    B = base area

    h = height

    Volume = 144 mm³

    B = 24 mm²

    volume = Bh

    144 = 24 * h

    144 = 24h

    divide both sides by 24

    h = 144/24

    h = 6 mm
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