Question

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. 50
b. 240
c. 60
d. 40
e. 180

Explanation:

Step1: Find volume of one chocolate bar

Each chocolate bar has a volume of 6 cubic - inches.

Step2: Find volume of one chocolate pyramid

The volume formula for a pyramid with a square base is $V=\frac{1}{3}Bh$, where $B$ is the base area and $h$ is the height. Given $B = 1$ square - inch and $h = 2$ inches, then $V=\frac{1}{3}\times1\times2=\frac{2}{3}$ cubic - inches.

Step3: Find total volume of 20 chocolate bars

The total volume of 20 chocolate bars is $20\times6 = 120$ cubic - inches.

Step4: Calculate number of pyramids

To find the number of pyramids, divide the total volume of the chocolate bars by the volume of one pyramid. Let $n$ be the number of pyramids. Then $n=\frac{120}{\frac{2}{3}}=120\times\frac{3}{2}=180$.

Answer:

E. 180