What is the volume of a square pyramid if the length of an edge of the base is 7 and the altitude
of the pyramid is 12?
(1) 28
(2) 56
(3) 196
(4) 588

We have been given that the length of an edge of a square pyramid is 7 and altitude of the pyramid is 12. We are asked to find the volume of the pyramid.

We will use volume of pyramid formula to solve our given problem.

, where,

b = Area of base of pyramid,

h = Height of pyramid.

We know that area of a square is square of its side length, so area of the base of pyramid would be .

The height of the pyramid will be equal to altitude.

Therefore, the volume of the given pyramid would be 196 cubic units and 3rd option is the correct choice.

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