Counting Volume

Front

What is volume?

Back

Volume is the amount of space an object occupies, measured in cubic units.

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 rectangular prism?

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cube with a side length of 3 units?

Back

Volume = 3 × 3 × 3 = 27 cubic units.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

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

Back

Volume = 2 × 3 × 4 = 24 cubic units.

Tags

CCSS.7.G.B.6

Front

What is the unit of measurement for volume?

Back

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

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a prism with a base area of 5 square units and a height of 2 units?

Back

Volume = base area × height = 5 × 2 = 10 cubic units.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 2 units and a height of 5 units?

Back

Volume = π × radius² × height = π × 2² × 5 ≈ 62.83 cubic units.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does changing the height of a prism affect its volume?

Back

Increasing the height increases the volume, while decreasing the height decreases the volume.

Tags

CCSS.7.G.B.6

Front

What is the volume of a prism with a base area of 10 square units and a height of 1 unit?

Back

Volume = base area × height = 10 × 1 = 10 cubic units.

Tags

CCSS.7.G.B.6

Front

If a box has a volume of 12 cubic units and a height of 3 units, what is the area of its base?

Back

Base area = Volume ÷ height = 12 ÷ 3 = 4 square units.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2