1. **Problem:** A rectangular box with base dimensions 2 inches by 6 inches and height 10 inches holds 12 ounces of cereal. The manufacturer wants a new box with base 3 inches by 5 inches that holds the same volume. Find the height of the new box. 2. **Formula:** Volume of a rectangular box is given by $$V = \text{length} \times \text{width} \times \text{height}$$ 3. **Step 1:** Calculate the volume of the original box: $$V = 2 \times 6 \times 10 = 120 \text{ cubic inches}$$ 4. **Step 2:** Let the height of the new box be $h$. The volume must be the same, so: $$3 \times 5 \times h = 120$$ 5. **Step 3:** Solve for $h$: $$15h = 120$$ $$h = \frac{120}{15} = 8$$ 6. **Answer:** The new box should be 8 inches tall to hold the same volume. **Final answer: 8** (Option A)