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?

2 answers

Volume of alabaster= 576 in3
Length for base = 3 inches
Height= 4 inches

Volume of pyramid = lwh/3
= 3x3x4/3
= 12 in3

Number of pyramids that can be made from 576 in3 of alabaster = 576/12
= 48
The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of Pluto does it take to have the same volume as Earth?