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 side length 3 units?

Back

Volume = 3 × 3 × 3 = 27 cubic units.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a box has a volume of 210 cubic inches and a width of 5 inches and a length of 7 inches, what is the height?

Back

Height = Volume / (length × width) = 210 / (7 × 5) = 6 inches.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a rectangular prism with dimensions 2 units, 3 units, and 4 units?

Back

Volume = 2 × 3 × 4 = 24 cubic units.

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Common units include cubic inches, cubic centimeters, liters, and gallons.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

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 = 20π cubic units.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a rectangular prism with a length of 4 units, width of 3 units, and height of 2 units?

Back

Volume = 4 × 3 × 2 = 24 cubic units.

Tags

CCSS.7.G.B.6