Geometry | Unit 5 | Lesson 12: Prisms and Pyramids | Practice Problems

Give each solid a geometric name. Be as precise as you can.

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CCSS.1.G.A.1

CCSS.2.G.A.1

Each set of two-dimensional shapes is the complete list of faces from a particular solid. Match each set of shapes with the solid they came from.

• 2 congruent triangles and 3 rectangles: Right triangular prism

• 4 triangles and 1 rectangle: Rectangular pyramid

• 2 squares and 4 congruent parallelograms: Oblique square prism

• 4 congruent, equilateral triangles: Right triangular pyramid

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CCSS.1.G.A.1

CCSS.2.G.A.1

These 3 congruent square pyramids can be assembled into a cube with side length 1 foot. What is the volume of each pyramid?

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CCSS.HSG.GMD.A.3

A prism has a height of 4 inches and a volume of 120 cubic inches. Select all figures that could be the base for this prism.

• a 5 inch by 6 inch rectangle

• a square with side length 5 inches

• a circle with radius 5 inches

• a star-shaped base with area 30 square inches

• a right triangle with legs 5 inches and 12 inches

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CCSS.7.G.B.6

This prism has a right triangle for a base. The volume of the prism is 54 cubic units. What is the value of h?

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CCSS.7.G.B.6

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 5 units. What is the volume of this solid?

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CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Find the volume of each solid.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

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CCSS.7.G.A.1