Mathematics
ansh842001

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) Answers
Drinkwine54

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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