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8 October, 02:30

A marble paperweight shaped similar to a prism weighs 0.2 lb. how much does a similarly shaped marble paperweight weigh if its length, width, and height are tripled?

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  1. 8 October, 02:47
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    If we let

    l = length

    w = width

    h = height

    The volume of the prism

    V = k lwh

    where k is the proportionality constant

    If we increase the dimensions by three, the new volume will be

    9V

    Since material is the same, the mass of the larger prism will be 9 times greater than the smaller one.
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