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.
[tex]V=\frac{1}{3}\cdot b\cdot h[/tex], 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 [tex]7^2=49[/tex].
The height of the pyramid will be equal to altitude.
[tex]V=\frac{1}{3}\cdot 49\cdot 12[/tex]
[tex]V=49\cdot 4[/tex]
[tex]V=196[/tex]
Therefore, the volume of the given pyramid would be 196 cubic units and 3rd option is the correct choice.
