7 Next Unit Posttest Submit Test Rea 7 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. 240 B. 520 C. 450 D. 180 E. 580 Reset Next

To determine the largest number of pyramids Dorothy can make, follow these steps: 1. **Calculate the Total Amount of Chocolate:** - Dorothy has **20 bars** of chocolate. - Each bar contains **6 cubic inches** of chocolate. - **Total chocolate available** = 20 bars × 6 cubic inches/bar = **120 cubic inches**. 2. **Determine the Volume of One Pyramid:** - The pyramids have a **square base** of **1 square inch**. - The **height** of each pyramid is **2 inches**. - The formula for the volume of a square-based pyramid is: \[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] - Plugging in the values: \[ \text{Volume} = \frac{1}{3} \times 1 \times 2 = \frac{2}{3} \text{ cubic inches} \] 3. **Calculate the Number of Pyramids:** - **Total chocolate available** = 120 cubic inches. - **Volume of one pyramid** = \(\frac{2}{3}\) cubic inches. - **Number of pyramids** = \(\frac{120}{\frac{2}{3}} = 120 \times \frac{3}{2} = 180\). **Answer:** **D. 180**