document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #732436 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "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. \n" ); document.write( "The information about the surface area of the smaller pyramid is not relevant to the problem. It's put there to confuse you. \n" ); document.write( "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. \n" ); document.write( "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 \n" ); document.write( " |