Volume: Missing Dimension

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

If the volume of a rectangular prism is known, how can you find the height?

Back

Height = Volume ÷ (Length × Width).

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), and cubic millimeters (mm³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the formula for finding the height if the volume and base area are known?

Back

Height = Volume ÷ Base Area.

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has a volume of 960 units³, length of 12 units, and width of 10 units, what is the height?

Back

Height = 960 ÷ (12 × 10) = 8 units.

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has a volume of 132 m³ and a base area of 22 cm², what is the height?

Back

Height = 132 ÷ 22 = 6 cm.

Tags

CCSS.7.G.B.6

Front

What is the relationship between volume, length, width, and height?

Back

Volume is directly proportional to the product of length, width, and height.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a shape has a length of 8 cm, width of 4 cm, and volume of 160 cm³, what is the height?

Back

Height = 160 ÷ (8 × 4) = 5 cm.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a rectangular prism has a volume of 192 m³ and a base area of 24 m², what is the height?

Back

Height = 192 ÷ 24 = 8 m.

Tags

CCSS.7.G.B.6