ABCDEFGH shown below is a cube with volume 240. Find the volume of pyramid ABCH.
+128408 ABCH will result in an oblique pyramid...its volume will be (1/6) that of the cube = 40
Proof ....
Volume of cube = s^3 where s is a side length of the cube
Volume of the pyramid =
(1/3) area of base * height
area of base = (1/2) s^2
height = s
So....
Volume of the pyramid =
(1/3) (1/2)s^2 * s =
(1/6)s^3 = (1/6) (240) = 40 ( units^3 )
