https://file.aiquickdraw.com/mathbot/file/1726082075147u0tn0tiu.jpg

To calculate the density of the cuboid, we use the formula for density:

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

### Step 1: Calculate the volume of the cuboid.
The formula for the volume of a cuboid is:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

From the image, the dimensions of the cuboid are:
- Length = 5 cm
- Width = 3 cm
- Height = 2 cm

\[
\text{Volume} = 5 \, \text{cm} \times 3 \, \text{cm} \times 2 \, \text{cm} = 30 \, \text{cm}^3
\]

### Step 2: Calculate the density.
The mass of the cuboid is given as 339 g. Using the formula for density:

\[
\text{Density} = \frac{339 \, \text{g}}{30 \, \text{cm}^3} = 11.3 \, \text{g/cm}^3
\]

### Final Answer:
The density of the cuboid is \( 11.3 \, \text{g/cm}^3 \).

Would you like more details, or do you have any questions?

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Here are 5 related questions to expand the topic:
1. What would happen to the density if the mass were doubled but the volume remained the same?
2. How would you calculate the volume if the cuboid had irregular sides?
3. What units are typically used for mass and volume when calculating density in different measurement systems?
4. Can you explain the relationship between mass, volume, and density in physical terms?
5. How would the density change if the material of the cuboid were changed to a lighter metal?

**Tip**: When calculating density, always ensure that the units for mass and volume are consistent for an accurate result.

The cuboid below is made of lead and has a mass of 339 g. Calculate its density, in g/cm³. If your answer is a decimal, give it to 1 d.p.

Learn how to calculate the density of a lead cuboid with a mass of 339 g and dimensions of 5 cm × 3 cm × 2 cm. Follow a step-by-step guide to find the density using the formula: Density = Mass / Volume. Ideal for Grades 6-8 students.

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