SOLUTION: The volume of a square pyramid is 600^3 inches. The height of the pyramid is 8 in. What is the length of each base edge?

Algebra ->  Surface-area -> SOLUTION: The volume of a square pyramid is 600^3 inches. The height of the pyramid is 8 in. What is the length of each base edge?      Log On


   

Question 1180776: The volume of a square pyramid is 600^3 inches. The height of the pyramid is 8 in. What is the length of each base edge?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The volume of a square pyramid is:
V+=+%281%2F3%29a%5E2%2Ah

given:

V+=600in%5E3
h=8in

600in%5E3+=+%281%2F3%29a%5E2%2A8in...simplify, both sides divide by 8in

75in%5E2+=+%281%2F3%29a%5E2+

75in%5E2+%2F+%281%2F3%29=a%5E2+

3%2A75in%5E2+=a%5E2+

225in%5E2+=a%5E2+

a=sqrt%28225in%5E2%29

a=15in

the length of each base edge is 15in