Question

This image shows a square pyramid.

What is the surface area of this square pyramid?

a. 32 ft²
b. 64 ft²
c. 128 ft²
d. 136 ft²

Answer 1

128

Explanation:

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Answer 2

we know that

[Surface area ]=[the area of 4 triangles]+[the area of square base]
[the area of square base]=8*8--------> 64 ft²

[the area of 1 triangle]=(1/2)*b*h
b=8 ft
How the angle is 45°-------> h=b/2-------> h=4 ft
then
[the area of 1 triangle]=(1/2)*8*4------> 16 ft²
and
[the area of 4 triangles]=4*16--------> 64 ft²

[Surface area ]=[64 ft²]+[64 ft²]----------> 128 ft²

the answer is 128 ft²