HELP!!! Math

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The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 12 feet and a base with area of 23 square feet has a volume of 92 cubic feet. Find the volume of a pyramid with a height of 17 and a base with an area of 27 square feet.

  • HELP!!! Math -

    v = kha

    92 = k(12)(23)

    92 = 276k

    k = 92/276 = 1/3

    v = 1/3ha

    v = (1/3)(17)(27)

    v = 153

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