Volume

Front

What is volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the formula for the volume of a cube?

Back

The volume of a cube is calculated using the formula V = s³, where 's' is the length of a side.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the formula for the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula V = l × w × h, where 'l' is length, 'w' is width, and 'h' is height.

Tags

CCSS.7.G.B.6

Front

What is the unit of volume?

Back

The unit of volume is cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

How do you convert cubic inches to cubic centimeters?

Back

To convert cubic inches to cubic centimeters, multiply the volume in cubic inches by 16.387.

Tags

CCSS.4.MD.A.2

Front

What is the volume of a cube with a side length of 2 units?

Back

The volume of a cube with a side length of 2 units is 2³ = 8 units³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a rectangular prism with dimensions 3 units, 4 units, and 5 units?

Back

The volume of the rectangular prism is 3 × 4 × 5 = 60 units³.

Tags

CCSS.7.G.B.6

Front

If a box has a volume of 100 cm³ and a height of 5 cm, what is the area of the base?

Back

The area of the base is calculated as Volume = Base Area × Height, so Base Area = Volume / Height = 100 cm³ / 5 cm = 20 cm².

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula V = πr²h, where 'r' is the radius of the base and 'h' is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere?

Back

The volume of a sphere is calculated using the formula V = (4/3)πr³, where 'r' is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3