Subjects algebra

Crate Volume 8F1B41

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1. **State the problem:** We need to find how many times greater the volume of the large dog crate is compared to the small dog crate. 2. **Recall the formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. **Calculate the volume of the small crate:** $$V_{small} = 4 \times 6 \times 4 = 96$$ cubic feet 4. **Calculate the volume of the large crate:** $$V_{large} = 12 \times 6 \times 4 = 288$$ cubic feet 5. **Find how many times greater the large crate's volume is:** $$\frac{V_{large}}{V_{small}} = \frac{288}{96}$$ 6. **Simplify the fraction:** $$\frac{\cancel{288}}{\cancel{96}} = 3$$ 7. **Interpretation:** The large crate's volume is 3 times greater than the small crate's volume. **How to put it in a calculator:** - Enter the multiplication for each volume: `4 * 6 * 4` and note the result. - Enter the multiplication for the large crate: `12 * 6 * 4` and note the result. - Divide the large volume by the small volume: `288 / 96`. - The calculator will show `3`, which is the answer.