https://file.aiquickdraw.com/mathbot/file/172719835843965xdcjna.jpg

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

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

### Step 1: Calculate the volume of the cuboid
The volume of a cuboid is given by the formula:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

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

So,

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

### Step 2: Calculate the density
The mass of the cuboid is given as 339 g, so the density is:

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

### Final Answer:
The density of the cuboid is **11.3 g/cm³**.

Would you like further details or have any questions?

Here are some related questions to deepen your understanding:
1. How would the density change if the mass of the cuboid was doubled but its dimensions stayed the same?
2. What would happen to the density if the volume increased but the mass remained constant?
3. How is density used in material identification in industries?
4. Can density change with temperature for the same material?
5. What units are typically used for density in different systems (e.g., SI vs. imperial)?

**Tip:** Density remains constant for a material unless external conditions like temperature or pressure change.

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 by 3 cm by 2 cm. The step-by-step solution demonstrates how to find the volume of the cuboid and use it to calculate the density. Suitable for middle school students (Grades 6-8).

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