Question

What is the volume of a square pyramid if the length of an edge of the base is 7 and the altitude

Answer 1

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.

$V=\frac{1}{3}\cdot b\cdot h$, 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 $7^2=49$.

The height of the pyramid will be equal to altitude.

$V=\frac{1}{3}\cdot 49\cdot 12$

$V=49\cdot 4$

$V=196$

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