A wooden model of a square pyramid has a base edge of 12 cm and an altitude of 8 cm. A cut is made parallel to the base of the pyramid that separates it into two pieces: a smaller pyramid and a frustum. Each base edge of the smaller pyramid is 6 cm and its altitude is 4 cm. How many cubic centimeters are in the volume of the frustum

Step-by-step explanation:

GIVEN: A wooden model of a square pyramid has a base edge of and an altitude of . A cut is made parallel to the base of the pyramid that separates it into two pieces: a smaller pyramid and a frustum. Each base edge of the smaller pyramid is and its altitude is .

TO FIND: Volume of frustum.

SOLUTION:

Base edge of bigger square pyramid

Altitude of bigger square pyramid

area of square base

Volume of pyramid

putting values

Base edge of smaller pyramid

Altitude of smaller pyramid

area of square base

Volume of small pyramid

Volume of frustum

Hence the volume of frustum is

20335+282=20617

step-by-step explanation: