Volume of Prisms and Cylinders

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height

Tags

CCSS.7.G.B.6

Front

What are the units for volume?

Back

Cubic units (e.g., cubic meters, cubic centimeters, cubic yards)

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you calculate the volume of a cylinder?

Back

Volume = π × radius² × height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does it mean when we say volume is measured in cubic units?

Back

It means that volume measures the three-dimensional space an object occupies.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

If a rectangular prism has a length of 5 yd, a width of 3 yd, and a height of 2 yd, what is its volume?

Back

30 yd³

Tags

CCSS.7.G.B.6

Front

True or False: The volume of an object can be negative.

Back

False

Front

What is the volume of a cylinder with a radius of 3 yd and a height of 5 yd?

Back

Volume = π × 3² × 5 ≈ 141.37 yd³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a prism and its base area?

Back

Volume = Base Area × Height

Tags

CCSS.7.G.B.6

Front

If the volume of a rectangular prism is 60 yd³ and its height is 4 yd, what is the area of its base?

Back

Base Area = Volume ÷ Height = 60 yd³ ÷ 4 yd = 15 yd²

Tags

CCSS.7.G.B.6

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2