SOLUTION: A square-based pyramid has a volume of 36 cubic inches. If the height is 15 inches greater than the length of each side of the baser, what is the height of the pyramid?

Algebra ->  Volume -> SOLUTION: A square-based pyramid has a volume of 36 cubic inches. If the height is 15 inches greater than the length of each side of the baser, what is the height of the pyramid?       Log On


   

Question 1166294: A square-based pyramid has a volume of 36 cubic inches. If the height is 15 inches greater than the length of each side of the baser, what is the height of the pyramid?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


V+=+%281%2F3%29%28B%29%28h%29

B+=+s%5E2
h=s%2B15

36+=+%281%2F3%29%28s%5E2%29%28s%2B15%29
108+=+s%5E2%28s%2B15%29

That is a cubic equation with a non-integer, irrational solution -- use a calculator to get an approximate answer.