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31 January, 06:04

What is the height of a rectangular prism that has a volume of 192 cubic feet and a base with an area of 48 square feet? Explain your work

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  1. 31 January, 08:46
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    The formula for volume is length * width * height, so this is the same as area of cross section * height. So, if the base of the rectangular prism (the cross section) has an area of 48 square feet, then 48 * the height = 192 cubic feet. Working backwards, we can find out the height (h will stand for height):

    48*h=192

    h=192:48

    h=4

    Therefore, the height of the rectangular prism is 4 feet
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