Geometry | Unit 5 | Lesson 11: Prisms Practice | Practice Problems

This prism has a right triangle for a base. What is the volume of the prism?

• 48 cubic units

• 50 cubic units

• 52 cubic units

• 54 cubic units

• 56 cubic units

Tags

CCSS.7.G.B.6

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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.

• a square with side length 4 inches

• a 2 inch by 8 inch rectangle

• a circle with radius 2 inches

• a right triangle with legs 4 inches long

• a heart-shaped base with an area of 16 square inches

Tags

CCSS.7.G.B.6

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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?

• 30 cubic units

• 60 cubic units

• 90 cubic units

• There is not enough information to determine the volume.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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?

Tags

CCSS.HSG.MG.A.1

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?

• 54 cubic units

• 108 cubic units

• 162 cubic units

• 216 cubic units

• 270 cubic units

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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?

Tags

CCSS.7.G.A.1

Select all statements that must be true.

• The angle bisector of an isosceles triangle is also the perpendicular bisector.

• The angle bisector of any angle divides the angle into 2 congruent parts.

• The median of a triangle is also the perpendicular bisector.

• The median of an isosceles triangle is also the angle bisector.

• The median of a triangle is also the angle bisector.

Tags

CCSS.HSG.CO.C.10