Volume

Front

What is volume?

Back

Volume is the amount of space that a substance (solid, liquid, gas) occupies. It is 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

Which shape has a larger volume: a cube with side 2 units or a cube with side 3 units?

Back

The cube with side 3 units has a larger volume (27 cubic units) compared to the cube with side 2 units (8 cubic units).

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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

What is the volume of a sphere with a radius of 3 units?

Back

Volume = (4/3) × π × radius³ = (4/3) × π × 3³ ≈ 113.1 cubic units.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 2 units and a height of 6 units?

Back

Volume = (1/3) × π × radius² × height = (1/3) × π × 2² × 6 ≈ 25.13 cubic units.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a box has a volume of 72 cubic units, what could be its dimensions?

Back

Possible dimensions could be 3 × 4 × 6 units.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the relationship between volume and capacity?

Back

Volume refers to the space occupied by an object, while capacity refers to the amount of liquid a container can hold.

Front

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

Back

Increasing the height of a prism increases its volume, assuming the base area remains constant.

Tags

CCSS.7.G.B.6