https://file.aiquickdraw.com/mathbot/file/1727198313333485fbz99.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 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.

Calculate the density of a cuboid made of lead with a mass of 339 g. The dimensions of the cuboid are 5 cm in length, 3 cm in width, and 2 cm in height. Express the density in g/cm³ to 1 decimal place.

Learn how to calculate the density of a lead cuboid given its mass and dimensions. This problem requires applying the formula for density and calculating volume with given dimensions. Ideal for middle school students learning basic concepts of density and volume.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation