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Find the volume of a square pyramid if each base edge and each lateral edge equals 36 cm.
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The solution by @MathLover1 is INCORRECT.
I came to bring a correct solution.
The volime of the pyramid is one third the product of the base area by the height
V = .
To find the height, draw the altitude of the pyramide from its peak vertex to the center of the base square.
You have right-angled triangle, formed by the altitude, the edge of the pyramid and half of the diagonal.
From Pythagoras, the height of the pyramid is = .
Therefore, the volume of the pyramid is
V = = = 10996.92 cm^3 (rounded). ANSWER
Solved.
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She edited her post after seeing my solution.