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
ESS
at
es
WEB
C. 450
De
Bea
D. 520
E.
580​

Answer 1

Answer:

The largest  number of pyramids she can make from 20 bars of chocolate is:

• A. 180

Step-by-step explanation:

Firstly, you must find the volume of the 20 bars of chocolate, remember that each bar contains 6 cubic inches of chocolate (6 in^3), so:

• Volume of the bars = 6 in^3 * 20
• Volume of the bars = 120 in^3

Now, you must find the volume of each pyramid, using the next formula:

• Volume of a pyramid = 1/3 B * h

Where:

B = area of the square base.

h = height of the pyramid.

How these values are given in the problem, we only replace the values in the formula:

• Area of a pyramid = 1/3 (1 in^2) * 2 in
• Area of a pyramid = 2/3 in^3

Finally, we divide the volume of the bars in the volume of each pyramid:

• Total number of pyramids = 120 in^3 / 2/3 in^3
• Total number of pyramids = 180