CPM Homework Help : INT2 Problem 12-104

A square pyramid, with the bottom portion solid and shaded, and the top portion, outlined with dashed lines. Bottom base sides, labeled, 9 cm. Square at base of dashed pyramid top, has side labeled 3 cm. The solid at right is an example of a truncated pyramid. It is formed by slicing and removing the top of a pyramid so that the slice is parallel to the base of the pyramid. If the original height of the square-based pyramid at right was $12$ cm, what is the volume of this truncated pyramid? (Hint: You may find your results from problem $12-84$ useful.)

Hint:

Find the volume of the top of the pyramid and subtract this from the volume of the whole pyramid.

Answer:

$V = 324 − 12 = 312cm^³$