Posted by **timmy** on Wednesday, February 29, 2012 at 4:54pm.

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?

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**MathMate**, Wednesday, February 29, 2012 at 9:34pm
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.

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**anonymous**, Wednesday, February 29, 2012 at 10:36pm
so theres 4 sides to a pyramid does that mean each side is 18m?

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**MathMate**, Thursday, March 1, 2012 at 8:48am
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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