Find the volume of a pyramid, at the base of which is a square with a diagonal of 6 cm, and the height is 5 cm?

Since at the base of the pyramid lies a square with a diagonal of 6 cm, we define its area through the diagonals of the square.

Sbn = AC * ВD / 2 = 6 * 6/2 = 18 cm2.

Let’s define the volume of the pyramid.

V = Sosn * PO / 3 = 18 * 5/3 = 30 cm2.

Answer: The volume of the pyramid is 30 cm2.



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