The problem asks to describe the shape of a horizontal cross-section for each of the given 3D figures. The figures are a pyramid, a sphere (specifically a baseball), and a slice of cake.
2025/4/21
1. Problem Description
The problem asks to describe the shape of a horizontal cross-section for each of the given 3D figures. The figures are a pyramid, a sphere (specifically a baseball), and a slice of cake.
2. Solution Steps
We need to imagine slicing each 3D object horizontally and describing the resulting 2D shape.
* Pyramid: A horizontal cross-section of a pyramid parallel to the base is a polygon similar to the base. In this case, the base is a hexagon (6 sides), so the horizontal cross section is also a hexagon. As you move higher up the pyramid, the hexagon gets smaller.
* Sphere (Baseball): A horizontal cross-section of a sphere is a circle. If the cut is made at the sphere's center, the resulting circle will be the largest. As the cut is made further away from the center, the circle gets smaller.
* Slice of Cake: The slice of cake looks like a triangular prism, so a horizontal cross section of a slice of cake would be a shape similar to the side of the slice. This is a rectangle.
3. Final Answer
* Pyramid: Hexagon
* Sphere (Baseball): Circle
* Slice of Cake: Rectangle