Question

What is the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches?

Answer 1

The length of the base of square pyramid is `4` inches.

Explanation:

The volume of square pyramid is `V=1/3*A*h` where A is the base area and h be the height of the pyramid.

So `V=1/3*A*9=48 or A=(48*3)/9=16` square inches.

We know area of a square is `a=l^2` where l is the length of a square base.

So `l^2=16 :. l=+-4`. Length can not be negative, hence `l=4`.

The length of the base of square pyramid is `4` inches.[Ans]