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 volume $V$ of a cuboid is given by:

$V = \text{length} \times \text{width} \times \text{height}$

From the image, we have:

• Length = 5 cm
• Width = 3 cm
• Height = 2 cm

$V = 5 \, \text{cm} \times 3 \, \text{cm} \times 2 \, \text{cm} = 30 \, \text{cm}^3$

Step 2: Use the Given Mass

The mass of the cuboid is given as 339 g.

Step 3: Calculate the Density

Now, apply the formula for density:

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

Thus, the density of the cuboid is 11.3 g/cm³ to 1 decimal place.

Would you like a detailed explanation of any step or have any other questions?

Related Questions:

1. How does changing the mass affect the density of a material?
2. What units are commonly used to measure density in different contexts (e.g., liquids, gases)?
3. How would you calculate the density of an irregular object?
4. Can the same material have different densities? Under what conditions?
5. How is density related to buoyancy?

Tip:

When solving problems involving volume and mass, ensure all measurements are in compatible units (e.g., cm, g) to avoid calculation errors.