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28 October, 03:56

Find the slant height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft.

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  1. 28 October, 05:35
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    The formula of the volume of a square pyramid is:

    Volume = a^2 (h/3)

    432 = 12^2 (h/3)

    432 = 48h

    h = 9 ft.

    But we need to find the slant height.

    The slant height forms the hypotenuse of the vertical height and half the base.

    slant height = square root (height^2 + base^2)

    sh = square root (9^2 + 6^2)

    sh = square root (117)

    sh = 10.82 ft

    So the slant height is equal to 10.82 feet.
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