A prism has a height of 5 inches and a volume of 80 cubic inches. Select all figures that could be the base for this prism.

This water bottle has a base with area square inches and a height of inches. Tyler thinks the volume of the water bottle is . Elena thinks the volume is less than .  

Do you agree with either of them? Explain your reasoning.

Each small square represents 1 square unit.

1. Sketch and label the solid formed by rotating this two-dimensional figure around the horizontal axis shown.

   

2. What is the volume of this solid?

A solid has volume 6 cubic units and surface area 22 square units. The solid is dilated, and the image has surface area 198 square units. What is the volume of the image?

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 a center. The cross-section has a side length of 154 meters.

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