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 units are commonly used to measure volume?

Back

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

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 cm, width of 4 cm, and height of 3 cm, what is its volume?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³

Tags

CCSS.7.G.B.6

Front

A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume?

Back

Volume = π × (3 cm)² × 10 cm ≈ 282.74 cm³

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

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume proportionally.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Front

If the radius of a cylinder is doubled, how does that affect its volume?

Back

The volume increases by a factor of four (since volume is proportional to the square of the radius).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a prism with a base area of 20 cm² and a height of 5 cm?

Back

Volume = Base Area × Height = 20 cm² × 5 cm = 100 cm³

Tags

CCSS.7.G.B.6