https://file.aiquickdraw.com/mathbot/file/17261654776295kxwiupc.jpg

Let's analyze the question shown in the image:

- Object A has a density of 10 g/cm³ and a mass of 9 g.
- Object B has a density of 10 g/cm³ and a mass of 4 g.
- The question asks: **Which object has a greater volume, and by how much?**

We know the formula for density is:

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

Therefore, the volume is:

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

Now, let's calculate the volume for both objects:

1. **For Object A:**
   \[
   \text{Volume}_A = \frac{9 \, \text{g}}{10 \, \text{g/cm}^3} = 0.9 \, \text{cm}^3
   \]

2. **For Object B:**
   \[
   \text{Volume}_B = \frac{4 \, \text{g}}{10 \, \text{g/cm}^3} = 0.4 \, \text{cm}^3
   \]

Now, comparing the volumes:

- Object A has a volume of 0.9 cm³, and Object B has a volume of 0.4 cm³. 

Thus, **Object A** has a greater volume, and the difference in volume is:

\[
0.9 \, \text{cm}^3 - 0.4 \, \text{cm}^3 = 0.5 \, \text{cm}^3
\]

### Conclusion:
The correct answer is: **Object A, by 0.5 cubic centimeters**.

Would you like any further details or explanations?

Here are five related questions you might find interesting:
1. How does density affect the volume of objects with the same mass?
2. What is the relationship between mass, density, and volume in physics?
3. Can two objects with different densities have the same volume?
4. How does temperature influence the density of a material?
5. What are some real-world applications of density calculations?

**Tip:** Always double-check units when performing density and volume calculations to avoid errors!

Object A has a density of 10 g/cm³ and a mass of 9 g. Object B has a density of 10 g/cm³ and a mass of 4 g. Which object has a greater volume and by how much?

Learn how to compare the volumes of two objects, A and B, with the same density but different masses. Object A has a density of 10 g/cm³ and a mass of 9 g, while Object B has a mass of 4 g. Solve for the volumes and find that Object A has a greater volume by 0.5 cm³.

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