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21 February, 04:49

Mike is pouring a two foot cement sidewalk around the perimeter of his swimming pool. His swimming pool measures 6 feet by 14 feet. If he plans for the sidewalk to be 9 inches deep, what volume of cement is needed for the sidewalk?

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  1. 21 February, 08:03
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    9 inches * 1 foot / 12 inches

    = 3/4 feet deep

    Area of the sidewalk:

    = the sides of the pool * the width of the sidewalk + the corners of the sidewalk (width * width)

    = 2 sides * 6 (feet / side) * 2 feet + 2 sides * 14 (feet / side) * 2 feet + 4 corners * (2 feet * 2 feet / corner)

    = 12 feet * 2 feet + 28 feet * 2 feet + 4 * 2 feet * 2 feet

    = 24 feet^2 + 56 feet^2 + 16 feet^2

    = 96 feet^2

    Volume:

    = 96 feet^2 * 3/4 feet

    = (96 * 3 / 4) feet^3

    = (19 * 3) feet^3

    = 57 feet^3
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