Question

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

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=(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=(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.