Question 1193447: Find the volume of a square pyramid if each base edge and each lateral edge equals 36 cm. Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website! Find the volume of a square pyramid if each base edge and each lateral edge equals .
You have right-angled triangle, formed by the altitude, the edge of the pyramid and half of the diagonal.
half of the diagonal of square base is:
You can put this solution on YOUR website! .
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
