Which object shown below could we slice perpendicular to its base/face to create a rectangle cross-section?
Choose 1 answer:
Choose 1 answer:
(Choice A)   A three-dimensional cone. Cone
A
A three-dimensional cone. Cone
(Choice B)   A three-dimensional rectangular pyramid. Pyramid (rectangular base)
B
A three-dimensional rectangular pyramid. Pyramid (rectangular base)
(Choice C)   A three-dimensional cylinder. Cylinder
C
A three-dimensional cylinder. Cylinder
(Choice D)   A three-dimensional sphere. Sphere
D
A three-dimensional sphere. Sphere

The correct answer is:

**(Choice C) A three-dimensional cylinder.**

### Explanation:
- **Cone (Choice A):** Slicing a cone perpendicular to its base results in a circular cross-section.
- **Rectangular Pyramid (Choice B):** Slicing a rectangular pyramid perpendicular to its base would produce a triangular or trapezoidal cross-section, not a rectangle.
- **Cylinder (Choice C):** Slicing a cylinder perpendicular to its base results in a rectangular cross-section. The height of the rectangle is equal to the height of the cylinder, and the width is equal to the diameter of the base of the cylinder.
- **Sphere (Choice D):** Slicing a sphere perpendicular to its "base" (though a sphere doesn't have a base in the traditional sense) would result in a circular cross-section.

Would you like more details or have any questions?

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Here are 5 related questions to consider:
1. What shape would you get if you slice a cylinder parallel to its base?
2. What happens if you slice a cone parallel to its base?
3. How does the cross-section change when slicing a sphere at different distances from the center?
4. Can a rectangular pyramid produce a rectangular cross-section with any type of slicing?
5. What would be the result of slicing a cube perpendicular to one of its faces?

**Tip:** Understanding cross-sections of 3D shapes can help visualize and solve complex geometry problems, especially in calculus and physics.

Explore how to identify rectangle cross-sections in 3D shapes with a focus on cylinders. Understand how slicing a cylinder perpendicular to its base creates a rectangular cross-section. Suitable for Grades 7-9 students studying geometry.

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