Volume of Rectangular Prisms

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 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

If a rectangular prism has a length of 4 inches, a width of 3 inches, and a height of 2 inches, what is its volume?

Back

24 cubic inches

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic inches (in³), cubic feet (ft³), and liters.

Tags

CCSS.3.MD.A.2

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, assuming length and width remain constant.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

If the volume of a rectangular prism is 60 cubic cm and its base area is 15 square cm, what is the height?

Back

Height = Volume ÷ Base Area = 60 cm³ ÷ 15 cm² = 4 cm.

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cubic cm.

Tags

CCSS.7.G.B.6

Front

If a box has a volume of 150 cubic inches and a height of 5 inches, what is the area of the base?

Back

Base Area = Volume ÷ Height = 150 in³ ÷ 5 in = 30 in².

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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 (2 × 2) because Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with a length of 10 feet, width of 2 feet, and height of 3 feet?

Back

Volume = 10 ft × 2 ft × 3 ft = 60 cubic feet.

Tags

CCSS.7.G.B.6