Volume of Prisms and Pyramids

Calculate the volume of a rectangular prism with a length of 5 cm, width of 3 cm, and height of 4 cm.

• 60 cm³

• 20 cm³

• 10 cm³

• 35 cm³

Find the volume of a triangular prism with a base area of 12 square units and a height of 8 units.

• 72 cubic units

• 20 cubic units

• 96 cubic units

• 10 cubic units

Determine the volume of a square pyramid with a base side length of 6 cm and a height of 9 cm.

• The volume of the square pyramid is 63 cubic cm.

• The volume of the square pyramid is 72 cubic cm.

• The volume of the square pyramid is 54 cubic cm.

• The volume of the square pyramid is 45 cubic cm.

Calculate the volume of a triangular pyramid with a base area of 20 square units and a height of 7 units.

• 140 cubic units

• 46.67 cubic units

• 10.5 cubic units

• 35 cubic units

A rectangular prism has a length of 10 cm, width of 4 cm, and height of 6 cm. If 5 such prisms are combined, what is the total volume?

• 240 cm³

• 1200 cm³

• 420 cm³

• 600 cm³

A triangular prism has a base area of 15 square units and a height of 10 units. If the prism is filled with water, what is the volume of water it can hold?

• 150 cubic units

• 50 cubic units

• 100 cubic units

• 25 cubic units

A square pyramid has a base side length of 8 cm and a height of 12 cm. If the pyramid is filled with sand, what is the volume of sand it can hold?

• 64 cm³

• 256 cm³

• 144 cm³

• 96 cm³

A triangular pyramid has a base area of 25 square units and a height of 9 units. What is the total volume of 3 such pyramids?

• 150 cubic units

• 200 cubic units

• 225 cubic units

• 300 cubic units

Explain the relationship between the volume of a prism and the volume of a pyramid with the same base and height.

• The volume of the prism is three times the volume of the pyramid.

• The volume of the prism is four times the volume of the pyramid.

• The volume of the prism is the same as the volume of the pyramid.

• The volume of the prism is half the volume of the pyramid.

A rectangular prism and a triangular prism have the same base area and height. Compare their volumes and explain your reasoning.

• The volume of the rectangular prism is the same as the volume of the triangular prism.

• The volume of the rectangular prism is half the volume of the triangular prism.

• The volume of the rectangular prism is three times the volume of the triangular prism.

• The volume of the rectangular prism is twice the volume of the triangular prism.