Side of the base of the regular pyramid = 3 and 4 cm, H = 6√3. Find the volume of the pyramid.

Given:

ABSC is a pyramid.

AC = 3.

CB = 4.

H = 6√3.

To find :

V -?

Decision :

V = 1/3 Sson * H – the formula for the area of the volume of the pyramid.

Sbas = (a ^ 2 * √3) / 4 – the formula for the area of the base of a regular triangle.

Sb = (4 ^ 2 * √3) / 4 = 4√3.

V = 1/3 * 4√3 * 6√3 = 24.

Answer: 24 cm ^ 3.



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