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?

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.