The Pyramid of Khufu in Giza, Egypt, was the world’s tallest free-standing structure for more than 3,500 years. Its original height was about 144 meters. Its base is approximately a square with a side length of 231 meters.

The diagram shows a cross-section created by dilating the base using the top of the pyramid as the center of dilation. The cross-section is at a height of 96 meters.

A pyramid with a square base. The sides of the base are labeled 231 m. The height of a pyramid is labeled 144 m. A plane intersects the pyramid below the point. The height from the base to the plane is labeled 96 m.  

1. What scale factor was used to create the cross-section?
2. What are the dimensions of the cross-section?

Imagine an upright cone with its base resting on your horizontal desk. Match each plane with the image of the cross-section formed by intersecting the plane with the cone.

What is the shape of the cross-section formed by intersecting a cube with a plane that passes through opposite edges of the cube? Explain how you know.