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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?

User KingPuppy
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2 Answers

2 votes

Answer:

328 is the answer

User Byamabe
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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
User Lai Lee
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