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IM Geo.5.11 Practice: Prisms Practice

This prism has a right triangle for a base.

What is the volume of the prism?

An oblique cylinder with a base of radius 2 units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment  which has length  units. The segment  forms a  angle with the plane of the base.

What is the volume of the cylinder?

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.

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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.

This solid has curved sides. All cross sections parallel to the base are squares measuring 3 units on each side. The height from the base to the top is 10 units. What is the volume of this solid?

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Each small square represents 1 square centimeter. Sketch and label the solid formed by rotating this two-dimensional figure around the horizontal axis shown.

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 side length of 154 meters. What scale factor was used to create the cross section?

What is the height of the cross section?

Select all statements that must be true.

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