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23 December, 10:22

a rectangular prism has a volume of 10 cubic units. If the length width and height of the prism are all each made 3 times as long what is the new volume?

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  1. 23 December, 10:57
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    270 units³

    Step-by-step explanation:

    l*w*h = 10

    lwh = 10

    New Volume = (3l) * (3w) * (3h)

    = 27*lwh

    = 27*10

    = 270 units³

    Alternately,

    Since the sides are increased in the same ratio,

    The two prisms are similar figures

    For similar figures,

    volume1/volume2 = (side1/side2) ³

    New Volume/10 = (3/1) ³ = 27

    New Volume = 270 units³
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