Tania bought a glass pyramid from a gift store. The pyramid, with a height of 4 cm and a square base of side 6 cm, was packed in a box shaped as a cube of side 8 cm. The empty space in the box was packed with paper tissue.

How many cubic centimeters of the box were stuffed with paper tissue?
Answer
192 cubic centimeters
368 cubic centimeters
464 cubic centimeters
480 cubic centimeters

Question

Tania bought a glass pyramid from a gift store. The pyramid, with a height of 4 cm and a square base of side 6 cm, was packed in a box shaped as a cube of side 8 cm. The empty space in the box was packed with paper tissue. 
 
How many cubic centimeters of the box were stuffed with paper tissue?
Answer
		192 cubic centimeters
		368 cubic centimeters
		464 cubic centimeters
		480 cubic centimeters

anonymous · Answer

Volume of cubical box minus Volume of square pyramid.

Volume of cubical box = 8^3 = 512 cubic centimeters.
Volume of square pyramid = 1/3 * base^2 * h = 1/3 * 6^2 * 4 = 48 cubic centimeters.

So, the answer is:
512 - 48 = 464 cubic centimeters.