A solid shape is converted from one form to another. What is the change in its volume?

Answer

To solve the problem of determining the change in volume when a solid shape is converted from one form to another, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Volume**:
- Volume is the amount of space occupied by a solid shape. It is measured in cubic units (e.g., cubic centimeters, cubic meters).

2. **Identify the Initial and Final Shapes**:
- When a solid shape is converted from one form to another, identify the initial shape (e.g., sphere, cube, cylinder) and the final shape (e.g., cone, cylinder, etc.).

3. **Recognize the Volume Formula for Different Shapes**:
- Each solid shape has a specific formula to calculate its volume:
- Sphere: \( V = \frac{4}{3} \pi r^3 \)
- Cylinder: \( V = \pi r^2 h \)
- Cone: \( V = \frac{1}{3} \pi r^2 h \)
- Cube: \( V = a^3 \) (where \( a \) is the length of a side)

4. **Volume Conservation Principle**:
- When a solid shape is transformed into another shape, the total volume of the solid remains constant, provided there is no loss of material. This means that the volume before the transformation is equal to the volume after the transformation.

5. **Conclusion**:
- Therefore, the change in volume when a solid shape is converted from one form to another is **zero**. The volume remains unchanged.

### Final Answer:
The change in volume is **unchanged** or **zero**.

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