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Svetllana [295]
3 years ago
10

The length of the base of a square pyramid is 9 inches the slant height is 12 inches what is the surface area of the pyramid

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

The surface area is 297\ in^{2}  

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

SA=b^{2}+4[\frac{1}{2}(b)(l)]

where

b=9\ in

l=12\ in -----> the slant height

substitute the values

SA=9^{2}+4[\frac{1}{2}(9)(12)]

SA=297\ in^{2}    

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