The surface area of a square pyramid is 85 square meters. The base length is 5 meters. What is the slant height? (With a clear answer please)
Accepted Solution
A:
The answer is 6 meters
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Explanation:
The base length is 5 meters, so the square bottom face is 5*5 = 25 square meters in area
The lateral surface area is therefore 85 - 25 = 60 square meters, which is the total of the 4 triangular faces. Each of these faces are the same so each face is 60/4 = 15 square meters
Let L be the slant height The base 5 times the slant height L over 2 will give us the area of each triangular face. In other words A = 5*L/2 15 = 5*L/2 15*2 = 5*L 30 = 5L 5L = 30 L = 30/5 L = 6