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24 November, 21:38

A rectangular box has faces with areas of 12,15, and 20 square units. What is the volume of the box?

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  1. 24 November, 21:55
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    First find the side lengths of the box by factoring each area:

    12: 1, 2, 3, 4, 6, 12

    15: 1, 3, 5, 15

    20: 1, 2, 4, 5, 10, 20

    Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:

    12: 3 * 4

    15: 3 * 5

    20: 4 * 5

    Sides: 3, 4, and 5

    Then multiply to get the volume:

    3 * 4 * 5 = 60 units^2
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