Question

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?

Answer 1

144 square pyramids

Explanation:

Answer 2

Given:
volume of the block = 576 cubic inches
Square pyramid = base area : 3 square inches ; height = 4 inches

Volume of square pyramid = a² * h/3
V = 3 square inches * 4inches/3
V = 4 cubic inches

volume of block / volume of square pyramid
576 cubic inches / 4 cubic inches = 144

She can make 144 square pyramids.