The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.
It is required to find the volume of the right square pyramid.
What is volume?
It is defined as a three-dimensional space enclosed by an object or thing.
We know the formula for finding the volume (V) of a right square pyramid is:
[tex]\rm V= a^2\times\frac{h}{3}[/tex] Where a is the base side and h is the height of the right square pyramid.
[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]
[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]
And h = 6 cm, putting this value in the above volume formula, wet get:
[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]
Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
Learn more about the pyramid here:
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