https://file.aiquickdraw.com/mathbot/file/17281173461019777rihx.jpg

To solve this problem, we need to calculate the density of the metal sculpture. Density (\(\rho\)) is given by the formula:

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

### Step 1: Convert the mass into grams
The mass is given as 8.1 kg. Since 1 kg = 1000 grams, we can convert the mass to grams:
\[
8.1 \, \text{kg} = 8.1 \times 1000 = 8100 \, \text{grams}
\]

### Step 2: Use the density formula
Now, we can calculate the density using the volume of 1250 cm³ and the converted mass of 8100 grams:
\[
\rho = \frac{8100 \, \text{g}}{1250 \, \text{cm}^3}
\]

\[
\rho = 6.48 \, \text{g/cm}^3
\]

### Final answer:
The density is \(6.48 \, \text{g/cm}^3\) to 2 decimal places.

Would you like further details or clarifications?

### Related questions:
1. How do you convert between different units of mass or volume?
2. What other properties can be calculated using mass and volume?
3. How would the result change if the volume of the sculpture increased but the mass remained constant?
4. How is density related to the type of material used in the sculpture?
5. Can you explain the significance of density in real-world applications, such as buoyancy or material selection?

**Tip**: Always ensure units are consistent when calculating density. For example, if the volume is given in cubic centimeters, mass should be in grams.

A metal sculpture has a total volume of 1250 cm³ and a mass of 8.1 kg. Work out its density, in grams per cubic centimetre (g/cm³). Give your answer to 2 decimal places.

Learn how to calculate the density of a metal sculpture with a volume of 1250 cm³ and a mass of 8.1 kg. The problem demonstrates how to convert units and apply the density formula to find the result in g/cm³. Suitable for students in Grades 8-10.

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