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 is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What are the units for volume?

Back

Cubed (to the 3rd power) such as cm³, m³, yd³.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

True or False: Volume is the amount of space an object takes up.

Back

True

Front

If a rectangular prism has dimensions 5 yd, 6 yd, and 11 yd, what is its volume?

Back

Volume = 5 × 6 × 11 = 330 yd³

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm?

Back

Volume = π × 7² × 10 ≈ 1540 cm³ (using π ≈ 3.14)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round the volume of a figure to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Tags

CCSS.7.EE.B.3

Front

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

Back

Volume = side³ = 4³ = 64 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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 a cylinder has a volume of 1696 cm³ and a height of 8 cm, what is its radius?

Back

Radius = √(Volume / (π × height)) = √(1696 / (π × 8)) ≈ 7.2 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3