Subjects physics

Coal Volume B6851D

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1. **State the problem:** We need to find the volume of a 20 kg bag of coal given the density of coal is 2250 kg/m^3. 2. **Formula used:** Density ($\rho$) is mass ($m$) divided by volume ($V$): $$\rho = \frac{m}{V}$$ 3. **Rearrange the formula to find volume:** $$V = \frac{m}{\rho}$$ 4. **Substitute the known values:** $$V = \frac{20}{2250}$$ 5. **Simplify the fraction:** $$V = \frac{\cancel{20}}{\cancel{2250}} \times \frac{1}{\frac{2250}{20}} = \frac{20}{2250}$$ 6. **Calculate the volume:** $$V = 0.008888\ldots \text{ m}^3$$ 7. **Final answer:** The volume of the 20 kg bag of coal is approximately $$0.0089 \text{ m}^3$$ This means the coal occupies about 0.0089 cubic meters of space.