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Density Calculation

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Density Calculation


1. **State the problem:** We need to find the density given the mass and the dimensions of the volume. 2. **Formula:** Density $\rho$ is defined as mass divided by volume: $$\rho = \frac{m}{V}$$ where $m$ is mass and $V$ is volume. 3. **Calculate the volume:** The volume of a rectangular prism is given by: $$V = \text{length} \times \text{breadth} \times \text{height}$$ Given length = 19, breadth = 15, height = 76, $$V = 19 \times 15 \times 76$$ 4. **Calculate volume value:** $$V = 19 \times 15 = 285$$ $$V = 285 \times 76 = 21660$$ 5. **Calculate density:** Given mass $m = 26.45$, $$\rho = \frac{26.45}{21660}$$ 6. **Simplify density:** $$\rho \approx 0.00122$$ **Final answer:** The density is approximately $0.00122$ (units depend on the units of mass and length).