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27 August, 04:53

Mr. Price makes cakes for special occasions. His most popular-sized cakes have a volume of 360 cubic inches. The cakes have a height, or thickness, of 3 inches, and have different whole number lengths and widths. No cakes have a length or width of 1 or 2 inches. How many different cakes, each with a different-size base, have a volume of 360 cubic inches?

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  1. 27 August, 05:15
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    There are total of 8 different possible combination of length and width

    Step-by-step explanation:

    Volume = 360 cubic inches

    Height = 3 inches

    Volume = l x w x h

    360 = l x w x 3

    l x w = 120

    The factors of 120 are,

    1 x 120,

    2x 60,

    3 x 40,

    4 x 30,

    5 x 24,

    6 x 20,

    8 x 15,

    10 x 12

    There are total of 8 different possible combination of length and width.
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