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?

To determine how many chocolate pyramids Dorothy can make, we need to follow these steps:

1. **Calculate the total volume of chocolate Dorothy has**:
   - Each bar of chocolate contains 6 cubic inches.
   - Dorothy has 20 bars of chocolate.
   \[
   \text{Total volume of chocolate} = 20 \times 6 = 120 \text{ cubic inches}
   \]

2. **Calculate the volume of one chocolate pyramid**:
   - The formula for the volume \( V \) of a pyramid with a square base is:
     \[
     V = \frac{1}{3} \times \text{base area} \times \text{height}
     \]
   - The base area is 1 square inch, and the height is 2 inches.
   \[
   V = \frac{1}{3} \times 1 \times 2 = \frac{2}{3} \text{ cubic inches}
   \]

3. **Determine the number of pyramids that can be made**:
   - We need to divide the total volume of chocolate by the volume of one pyramid.
   \[
   \text{Number of pyramids} = \frac{120 \text{ cubic inches}}{\frac{2}{3} \text{ cubic inches/pyramid}} = 120 \times \frac{3}{2} = 180
   \]

Therefore, the largest number of pyramids Dorothy can make from the 20 bars of chocolate is:

\[
\boxed{180}
\]

Would you like details or have any questions?

Here are 5 numbered questions you may consider:

1. How do you calculate the volume of a rectangular prism?
2. What is the formula for the surface area of a pyramid?
3. How do you determine the volume of a cylinder?
4. What are the properties of similar pyramids?
5. How do you find the height of a pyramid if the volume and base area are known?

**Tip:** Always verify the units of measurement when solving geometry problems to ensure consistency and accuracy.

Learn how to calculate the volume of chocolate pyramids from 20 bars of chocolate. Each pyramid has a base area of 1 square inch and a height of 2 inches, with detailed steps and calculations provided. Suitable for Grades 7-9 students.

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