Asked by Sara
A regular square pyramid has a height of 2 and lateral edges of length 10. What is the lateral area and total surface area of the pyramid?
Answers
Answered by
oobleck
If the diagonal of the base has length 2d, then
d^2 + 2^2 = 10^2
The sides of the base have length 2b, where
b^2 + b^2 = d^2
Each triangular face has slant height h, where
b^2 + 2^2 = h^2
Now you can find the area of the base, and the area of each face.
d^2 + 2^2 = 10^2
The sides of the base have length 2b, where
b^2 + b^2 = d^2
Each triangular face has slant height h, where
b^2 + 2^2 = h^2
Now you can find the area of the base, and the area of each face.
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