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3 November, 21:16

If a cubical block contains 21,952 cubic inches, how many square feet of paper will be required to cover the entire surface?

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  1. 4 November, 00:30
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    Cubical block:

    Volume: V=21,952 cubic inches

    V=a^3

    Edge: a

    a^3=21,952 cubic inches

    Solving for a:

    cubic root (a^3) = cubic root (21,952 cubic inches)

    a=28 inches

    Surface Area: S=?

    S=6a^2

    S=6 (28 inches) ^2

    S=6 (784 inches^2)

    S=4,704 inches^2

    S=4,704 inches^2 (1 foot) ^2 / (12 inches) ^2

    S=4,704 inches^2 (1 foot^2) / (144 inches^2)

    S=32.66666666 feet^2

    S=32.67 feet^2

    Answer: 32.67 square feet of paper will be required to cover the entire surface.
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