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14 November, 01:30

The pyramid shown has a square base that is 18 inches on each side. It has a surface area of 864 square inches. What is the slant height

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  1. 14 November, 01:44
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    The first step is to find the relationship between the square base and the surface area.

    Surface area (SA) = area of the square (SS) + area of triangles. 4 (AT)

    Thus we can conclude area of triangles 4 (AT) = SA - SS = 864 - (18*18)

    4 (AT) = 864 - 324 = 540

    Each triangle = 540/4 = 135 square in.

    An area of one triangle (AT) = (base * slant height) / 2

    The base = 18 in.

    slant height = 2 (AT) / base = 2 (135) / 18 = 15
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