SOLUTION: I can't seem to figure out how to find the volume of a pyramid with just the slant height and height given. Here's the problem; Find the volume of a square pyramid with height 1

Algebra ->  Volume -> SOLUTION: I can't seem to figure out how to find the volume of a pyramid with just the slant height and height given. Here's the problem; Find the volume of a square pyramid with height 1      Log On


   

Question 139366: I can't seem to figure out how to find the volume of a pyramid with just the slant height and height given. Here's the problem;
Find the volume of a square pyramid with height 12 cm and slant height 15 cm.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the height , slant height, and half the width of the base form a right triangle

the ratio of the height to the slant height is 4 to 5 __ sound familiar?

a ?-4-5 right triangle?


half the width of the square base is 9, so the area of the base is 18^2 or 324

volume is 1/3(base area)(height) __ (1/3)(324)(12)=1296