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. 180
B. 240
C. 450
D. 520
E. 580

Answer 1

Hello, The answer for this question is 180 pyramids, or the letter A. I hope this helps you. Have a good day

Answer 2

By calculating the volume of each chocolate pyramid and determining the total volume of chocolate available, Dorothy can make the largest number of 180 pyramids from 20 bars of chocolate, corresponding to option A.

Step-by-step explanation:

The student's question involves determining the largest number of chocolate pyramids that can be made from a given amount of chocolate, with specific dimensions for each pyramid. First, we calculate the volume of a single pyramid using the formula for the volume of a pyramid: V = (1/3) * base area * height. Given that each pyramid has a square base of 1 square inch and a height of 2 inches, the volume of one pyramid would be (1/3) * 1 * 2 = 2/3 cubic inches.

Next, we find out how much chocolate Dorothy has in total. As she has 20 bars of chocolate, and each bar is 6 cubic inches, she therefore has a total of 20 * 6 = 120 cubic inches of chocolate available.

Now, by dividing the total available chocolate by the volume of one pyramid, we can find the largest number of pyramids Dorothy can make: 120 / (2/3) = 180.

Thus, the largest number of chocolate pyramids Dorothy can make from 20 bars of chocolate is 180, which corresponds to the option A.