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 based area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block alabaster?

a.) 136
b.) 144
c.) 154
d.)166
e.) 172

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 based area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block alabaster?

a.) 136
b.) 144
c.) 154
d.)166
e.) 172

SmokeyBrown · Answer

So, the volume of each pyramid would be equal to the area of the base, multiplied by the height, divided by 3.
This happens to be 4 cubic inches.
Now, the total amount of material is 576 cubic inches. 576/4 is 144. So, you could make 144 pyramids of that size with that amount of material.