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20 January, 09:52

A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a maximum of 3960 cubic inches of water, how much glass was used to construct the tank?

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  1. 20 January, 10:09
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    582.74 square inches of glass is required to construct the tank

    Step-by-step explanation:

    Base dimensions = 22 x 12 inches

    Volume of the fish tank = 3960 cubic inches

    Volume = l x w x h

    3960 = 22 x 12 x h

    h = 3960 / (22 x 12)

    h = 3960/462

    h = 8.57 inches

    The glass used = lateral surface area of the rectangular prism

    = 2 (lh + wl)

    = 2 (188.57 + 102.8)

    = 2 (291.37)

    = 582.74 square inches

    582.74 square inches of glass is required to construct the tank
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