Volume Challenge: Prisms and Cylinders for 5th Graders

A rectangular prism has a length of 4 cm, a width of 3 cm, and a height of 5 cm. What is the volume of the prism?

• 12 cm³

• 20 cm³

• 60 cm³

• 45 cm³

Tags

CCSS.7.G.B.6

A cylinder has a radius of 2 cm and a height of 7 cm. What is the volume of the cylinder?

• 28π cm³

• 14π cm³

• 20π cm³

• 35π cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A toy box is made up of a rectangular prism with a base of 6 cm by 4 cm and a height of 10 cm. If the box has a cylindrical lid with a radius of 3 cm and a height of 5 cm, what is the total volume of the toy box?

• 240 cm³

• 450 cm³

• 300 cm³

• 381.37 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A swimming pool is shaped like a rectangular prism with dimensions 10 m long, 4 m wide, and 2 m deep. How much water can the pool hold?

• 60 m³

• 100 m³

• 80 m³

• 40 m³

Tags

CCSS.7.G.B.6

A can of soda is in the shape of a cylinder with a radius of 3 inches and a height of 5 inches. What is the volume of the can?

• 120 cubic inches

• 200 cubic inches

• Approximately 141.3 cubic inches

• 100 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A garden shed is made of a rectangular prism that is 8 ft long, 6 ft wide, and 5 ft high. If the roof is a triangular prism with a base of 6 ft and a height of 4 ft, what is the total volume of the shed?

• 180 ft³

• 400 ft³

• 336 ft³

• 250 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A fish tank is a rectangular prism measuring 12 inches long, 8 inches wide, and 10 inches high. How many cubic inches of water can it hold?

• 960 cubic inches

• 600 cubic inches

• 1200 cubic inches

• 800 cubic inches

Tags

CCSS.7.G.B.6

A cylindrical water bottle has a diameter of 4 inches and a height of 10 inches. What is the volume of the water bottle?

• 20π cubic inches

• 40π cubic inches

• 30π cubic inches

• 50π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A storage container is a combination of a rectangular prism with dimensions 5 ft by 3 ft by 2 ft and a cylindrical section with a radius of 2 ft and a height of 3 ft. What is the total volume of the container?

• 25 + 10π ft³ (approximately 62.8 ft³)

• 35 + 8π ft³ (approximately 67.3 ft³)

• 20 + 15π ft³ (approximately 73.4 ft³)

• 30 + 12π ft³ (approximately 67.7 ft³)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cake is shaped like a cylinder with a radius of 6 inches and a height of 4 inches. What is the volume of the cake?

• 72π cubic inches

• 120π cubic inches

• 96π cubic inches

• 144π cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3