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The question in your image asks what cross-sections you get when you make a horizontal and a vertical cut to a cube. Let's break this down:

- A **cube** is a three-dimensional object with all sides equal, and each face is a square.

### Horizontal cut:
- A **horizontal cut** through a cube will produce a shape based on how it intersects with the cube. If the cut is parallel to the base of the cube, the cross-section will always be a **square** (since all faces are squares).

### Vertical cut:
- A **vertical cut** could be through the middle of the cube or near the edges. In most cases, a vertical cut through a cube (along a plane that intersects opposite faces) will result in a **square** or **rectangle**, depending on the orientation of the cut.

### Answer:
The correct cross-sections would be:
- **Horizontal cut: square**, 
- **Vertical cut: square**.

This matches with the option in your image that states:
**"Horizontal cut - square, Vertical cut - square."**

Would you like more details on how cross-sections work, or do you have any other questions?

Here are 5 relative questions to expand on this:

1. What cross-sections are formed when cutting a cube diagonally?
2. How do the cross-sections change if we cut a rectangular prism instead of a cube?
3. Can you describe the shapes formed when cutting a cylinder horizontally and vertically?
4. How does the orientation of a cut affect the resulting cross-section in 3D objects?
5. What other three-dimensional shapes yield squares as cross-sections?

**Tip**: Visualizing the cuts using diagrams or 3D models can help you better understand the cross-sections of various shapes.

What cross-sections do you get when you make a horizontal and a vertical cut to a cube?

Explore how horizontal and vertical cuts through a cube create cross-sections. Understand the geometric properties of a cube and learn how these cuts result in square cross-sections. This topic is suitable for middle school students (Grades 6-8).

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