Cavalieri's principle and composite figures

Which of the measurements from the prism will you NOT use to calculate the volume?

• 6 ft
• 8 ft
• 10  ft
• 12 ft

Tags

CCSS.7.G.B.6

What shape will the vertical cross -section of a cylinder be?

• Circle
• Triangle
• Rectangle
• Ellipse

Tags

CCSS.7.G.A.3

a) Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

• True

• False - the cross sectional areas are not relevant

• False - only the slant height is relevant

• False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

Tags

CCSS.5.MD.C.3

CCSS.5.MD.C.5

What is the radius of a cylinder with volume 300π cm³ and height 12 cm?

• 12.5 cm
• 5√3 cm
• 25 cm
• 5 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Determine the volume of the composite solid. Round your answer to the nearest tenth.

• 150.8

• 1504.1

• 1529.2

• 1680

Tags

CCSS.5.MD.C.5C

Find the volume.

• 10,500 cm³

• 14,000 cm³

• 7,200 cm³

• 8,400 cm³

Tags

CCSS.7.G.B.6

Challenge: Ms. V saw this apparatus at the dog park. It's a plastic rectangular prism with a cylindrical hole drilled through the middle for dogs to run through. Assuming it's solid plastic, how many cubic meeters are needed to construct it? (In other words, what's the volume)

Round your answer to 3 decimal places.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How much grain could fit in this silo? Round your answer to the nearest cubic meter.

• 810 m³
• 733 m³
• 581 m³
• 177 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the treasure chest. Round to the nearest whole mm³.

• 700 mm³

• 817 mm³

• 350 mm³

• 944 mm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A storage bin in the shape of a rectangular prism has a volume of 5,400 cubic inches. The base area of the storage bin is 450 square inches. What is the height of the storage bin?

• 9 inches

• 11 inches

• 12 inches

• 15 inches

Tags

CCSS.7.G.B.6