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27 May, 10:00

A paperweight in the shape of a square pyramid has a side length of 8.2 inches. The slant height is 15.9 inches. What is the surface area of the paperweight?

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  1. 27 May, 10:26
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    The base of the pyramid is the side length squared

    Base Area = (side length) (side length)

    = (8.2) (8.2)

    = 67.24

    The slant length and side length is used to calculate the area of one slated face of the pyramid. Using the formula for a trangle (bh/2) we can find the area of one face

    Face = bh/2

    = 8.2 (15.9) / 2

    = 130.38/2

    = 65.19

    As there are 4 faces, and one base the total area is the sum of 4 faces and the base area

    A = 4F+BA

    = 4 (65.19) + 67.24

    = 260.76 + 67.24

    = 328 in²
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