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 base, 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 base, what is the height of the pyramid?      Log On


   

Question 1166300: 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 base, what is the height of the pyramid?
Answer by greenestamps(13200) 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.