Some bronze is made by mixing 360 g of copper and 77g of tin.

The density of copper is 9 g/cm³ and the density of tin is 7 g/cm³.

Calculate the density of the bronze.

Give your answer to 2 decimal places

To calculate the density of the bronze, we need to determine the total mass and the total volume of the mixture. The density of a material is given by:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

### Step 1: Find the volume of each metal
We know the mass and density of copper and tin. The volume of each metal can be calculated using the formula:

\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\]

#### Volume of copper:
\[
V_{\text{copper}} = \frac{360 \, \text{g}}{9 \, \text{g/cm}^3} = 40 \, \text{cm}^3
\]

#### Volume of tin:
\[
V_{\text{tin}} = \frac{77 \, \text{g}}{7 \, \text{g/cm}^3} = 11 \, \text{cm}^3
\]

### Step 2: Find the total volume and mass
Now, we can find the total volume and total mass of the bronze.

\[
\text{Total volume} = V_{\text{copper}} + V_{\text{tin}} = 40 \, \text{cm}^3 + 11 \, \text{cm}^3 = 51 \, \text{cm}^3
\]
\[
\text{Total mass} = 360 \, \text{g} + 77 \, \text{g} = 437 \, \text{g}
\]

### Step 3: Calculate the density of the bronze
Now, we can calculate the density of the bronze:

\[
\text{Density of bronze} = \frac{\text{Total mass}}{\text{Total volume}} = \frac{437 \, \text{g}}{51 \, \text{cm}^3} \approx 8.57 \, \text{g/cm}^3
\]

### Final Answer:
The density of the bronze is approximately **8.57 g/cm³** (to 2 decimal places).

Would you like further details or have any questions?

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Here are 5 related questions:
1. How does the density of bronze change if you increase the proportion of tin?
2. What would the density be if we used a different metal, like zinc, instead of tin?
3. How is the overall density of alloys like bronze determined in real-world scenarios?
4. If you mix metals with equal densities, does the density of the resulting alloy change?
5. What role does density play in selecting metals for different industrial applications?

**Tip**: In mixtures and alloys, the density typically lies between the densities of the individual components, weighted by their volumes.

Some bronze is made by mixing 360 g of copper and 77 g of tin. The density of copper is 9 g/cm³ and the density of tin is 7 g/cm³. Calculate the density of the bronze. Give your answer to 2 decimal places.

Learn how to calculate the density of bronze made from 360 g of copper and 77 g of tin. The problem covers key concepts in density and mixture problems, using the formula Density = Mass / Volume. Suitable for Grades 8-10.

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