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olga nikolaevna [1]
3 years ago
14

what is the surface area of a square pyramid with base side lengths of 10 inches and a slant height of 14 inches

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

The surface area is 380\ 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=10\ in

l=14\ in -----> the slant height

substitute the values

SA=10^{2}+4[\frac{1}{2}(10)(14)]

SA=380\ in^{2}    

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