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17 September, 19:17

Find the surface area of a pyramid with a square base with dimensions 100 mm by 100 mm and height of 75 mm.

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  1. 17 September, 22:20
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    To solve for the surface area of the pyramid, we make use of the formula:

    A = l w + l [sqrt ((w / 2) ^2 + h^2) ] + w [sqrt ((l / 2) ^2 + h^2))

    where,

    l and w are the base of the pyramid = 100 mm

    h is the height of the pyramid = 75 mm

    Substituting the given values into the equation:

    A = 100 * 100 + 100 [sqrt ((100 / 2) ^2 + 75^2) ] + 100 [sqrt ((100 / 2) ^2 + 75^2))

    A = 10,000 + 100 (sqrt 2575) + 100 (sqrt 2575)

    A = 20,148.90 mm^2

    Therefore the surface area of the pyramid is about 20,149 mm^2.
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