Question

select the correct answer. for the upcoming holiday season, dorothy wants to mold 20 bars of chocolate into tiny pyramids. each bar of chocolate contains 6 cubic inches of chocolate. dorothy plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. what is the largest number of pyramids she can make from the 20 bars of chocolate?
a. 180
b. 520
c. 580
d. 450
e. 240

Explanation:

Step1: Calculate volume of one pyramid

$V=\frac{1}{3}Bh=\frac{1}{3}\times1\times2=\frac{2}{3}$ (cubic - inches)

Step2: Calculate total volume of chocolate

$V_{total}=20\times6 = 120$ (cubic - inches)

Step3: Calculate number of pyramids

$n=\frac{V_{total}}{V}=\frac{120}{\frac{2}{3}}=120\times\frac{3}{2}=180$

Answer:

A. 180