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 4 inches?

Back

64 cubic inches (4 in × 4 in × 4 in).

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a cylinder has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

Volume = π × radius² × height = π × 3² × 5 = 45π cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Common units include cubic inches, cubic feet, 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 prism with a base area of 10 square feet and a height of 4 feet?

Back

40 cubic feet (Volume = base area × height).

Tags

CCSS.7.G.B.6

Front

How do you find the volume of an irregular shape?

Back

Use water displacement method: submerge the object in water and measure the volume of water displaced.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

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

Back

Volume = (4/3)πr³ = (4/3)π(3)³ = 36π cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a box has a volume of 120 cubic inches and a height of 5 inches, what is the base area?

Back

Base area = Volume ÷ height = 120 in³ ÷ 5 in = 24 square inches.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3