The density of silver is 10.5 grams per cubic centimetre. If a nugget of silver weighs 2100 grams, what is the volume of two such nuggets in cubic centimetres?

To find the volume of two silver nuggets, we first need to calculate the volume of one nugget and then double it.

### Step 1: Determine the volume of one nugget
The formula to find the volume \(V\) when the mass \(m\) and density \(\rho\) are known is:
\[
V = \frac{m}{\rho}
\]
Given:
- Density of silver, \(\rho = 10.5 \text{ grams per cubic centimetre}\)
- Mass of the nugget, \(m = 2100 \text{ grams}\)

Substitute the values into the formula:
\[
V = \frac{2100 \text{ grams}}{10.5 \text{ grams per cubic centimetre}} = 200 \text{ cubic centimetres}
\]

### Step 2: Calculate the volume of two such nuggets
Since one nugget has a volume of 200 cubic centimetres, the volume of two nuggets would be:
\[
\text{Volume of two nuggets} = 2 \times 200 \text{ cubic centimetres} = 400 \text{ cubic centimetres}
\]

### Final Answer:
The volume of two such nuggets is **400 cubic centimetres**.

Would you like more details or have any questions?

Here are some related questions:
1. How much would three silver nuggets weigh if their total volume is 600 cubic centimetres?
2. What would be the volume of a silver nugget weighing 5000 grams?
3. If the density of gold is 19.3 grams per cubic centimetre, what would be the volume of a 2100-gram gold nugget?
4. How would the volume change if the nugget were made of a material with a density of 8 grams per cubic centimetre?
5. What would be the total mass of four silver nuggets with a volume of 800 cubic centimetres?

**Tip:** When calculating volume from mass and density, always ensure that the units are consistent to avoid errors.

Explore how to calculate the volume of silver nuggets using density and mass. This example problem involves finding the volume of two silver nuggets given the density of silver (10.5 grams per cubic centimetre) and the mass of one nugget (2100 grams).

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