Volume of Rectangular Prisms and Cubes

Front

What is the formula to 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 cm?

Back

Volume = 4 cm × 4 cm × 4 cm = 64 cubic cm

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm, what is its volume?

Back

Volume = 5 cm × 3 cm × 2 cm = 30 cubic cm

Tags

CCSS.7.G.B.6

Front

What unit is used to measure volume?

Back

Cubic units (e.g., cubic centimeters, cubic meters) are used to measure volume.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

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 dimensions 10 ft (length), 5 ft (width), and 4 ft (height)?

Back

Volume = 10 ft × 5 ft × 4 ft = 200 cubic ft

Tags

CCSS.7.G.B.6

Front

If the volume of a rectangular prism is 48 cubic cm and the base area is 12 square cm, what is the height?

Back

Height = Volume ÷ Base Area = 48 cubic cm ÷ 12 square cm = 4 cm

Tags

CCSS.7.G.B.6

Front

What is the relationship between the volume of a cube and the length of its side?

Back

The volume of a cube is equal to the side length raised to the third power (Volume = side³).

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

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

Back

Base Area = Volume ÷ Height = 120 cubic inches ÷ 5 inches = 24 square inches

Tags

CCSS.7.G.B.6

Front

What happens to the volume of a rectangular prism if both the length and width are doubled?

Back

The volume increases by a factor of four (Volume = 2 × length × 2 × width × height).

Tags

CCSS.7.G.B.6