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The roof of a building is shaped like a square pyramid, with a base of 18m by 18m. If the slant height of the roof is 12m and roofing costs 5.75m2, how much will it cost for roofing material?

  • math -

    The lateral surface area of a pyramid (the slanted sides) is the perimeter of the base P multiplied by the slant height H and divided by two, or
    A(lateral) = PH/2
    Finally multiply by the price per metre^2 to get the price.

  • math -

    so theres 4 sides to a pyramid does that mean each side is 18m?

  • math -

    Exactly!
    The perimeter of the square base is therefore 4*18.

    Useful information:
    "18m x18m " is a short form for "each side of a square is 18m"

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