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18 March, 01:04

A Church spire in a form of a regular hexagonal pyramid whose base edge is 8ft and whose altitude is 75ft is to be painted at a cost of 22 dollars per sq. yard. What is the total cost?

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  1. 18 March, 01:22
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    Given:

    base edge - 8 ft

    altitude or height - 75 ft

    Surface area = [ (3√3) / 2] a² + 3a[√h² + (3a²/4) ]

    S. A = 2.6*8² + 3 (8) * √75² + [ (3*8²) / 4]

    S. A = 166.4 + 24 * √5625 + 48

    S. A = 166.4 + 24 * √5674

    S. A = 166.4 + 24 * 75.33

    S. A = 166.4 + 1807.92

    S. A = 1974.32 ft²

    convert square feet to square yard.

    1 sq ft = 0.1111 sq yd

    1974.32 ft² * 0.1111 sq. yd/sq. ft = 219.35 sq yd.

    22 per sq. yard

    219.35 sq. yard * $22/sq. yd = $4,825.70

    Total cost is $4,825.70
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