SOLUTION: Height of one square pyramid is 24m. A smaller pyramid has a height of 8m. The volume of the larger pyramid is 648m3. The surface area of the smaller pyramid is 124m2. What is the

Algebra ->  Volume -> SOLUTION: Height of one square pyramid is 24m. A smaller pyramid has a height of 8m. The volume of the larger pyramid is 648m3. The surface area of the smaller pyramid is 124m2. What is the       Log On


   

Question 1117367: Height of one square pyramid is 24m. A smaller pyramid has a height of 8m. The volume of the larger pyramid is 648m3. The surface area of the smaller pyramid is 124m2. What is the volume of the smaller pyramid.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The problem doesn't say that the two pyramids are similar. They have to be, in order to solve the problem; so I will assume they are.

The information about the surface area of the smaller pyramid is not relevant to the problem. It's put there to confuse you.

The ratio of the heights of the two pyramids is 24:8 or 3:1. That means the ratio of the volumes is 3^3:1^3 = 27:1.

So if the volume of the larger pyramid is 648 m^3, then the volume of the smaller one is 648/27 = 24 m^3