A frustum of height 4 is part of a larger pyramid of height 6. The larger pyramid is composed of the frustum and a smaller pyramid...?

If the volume of the smaller pyramid is 210, what is the volume of the frustum?

stanschim2021-03-21T19:51:24Z

The small pyramid has a height of 2; the large pyramid has a height of 6.

The volumes are proportional to the cube of their heights.

small / large = 2^3 / 6^3 = 210 / x 


1 / 27 = 210 / x

x = (210)(27) = 5670 cubic units