Volume of prisms and cylinder

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 is volume?

Back

Volume is the amount of space an object takes up.

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its volume?

Back

24 cubic cm

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³) are used to measure volume.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How does the volume of a cylinder compare to that of a rectangular prism with the same base area and height?

Back

The volume of both shapes can be calculated using their respective formulas, but they may differ based on their shapes.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = π × (3 cm)² × 5 cm ≈ 141.37 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a prism with a base area of 10 cm² and a height of 4 cm?

Back

Volume = base area × height = 10 cm² × 4 cm = 40 cm³

Tags

CCSS.7.G.B.6

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 cube with a side length of 3 cm?

Back

Volume = side³ = 3 cm × 3 cm × 3 cm = 27 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2