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14 November, 16:08

An in-ground pond has the shape of a rectangular prism. the pond has a height of 24 inches and a volume of 33,000 cubic inches. the pond's length is 2 times its width. find the length and width of the pond. round your answers to the nearest tenth.

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  1. 14 November, 17:21
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    We are given with a rectangular prism which has a formula for volume:

    Volume = W*H*L

    There were values given in the problem such as:

    H = 24 inches

    Volume = 33, 000 in³

    L = 2x

    W = x

    Solving for x, W, and L:

    33000 = 24 * 2x*x

    33000/48 = x²

    x = √687.5

    x = 26.22

    Therefore, the length is 26.22 inches and the width is 52.44 inches.
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