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

If a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, what is its volume?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 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, cubic inches) are used to measure volume.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What does it mean if a prism has a volume of 0?

Back

A volume of 0 means that at least one dimension (length, width, or height) is 0, indicating no space.

Tags

CCSS.7.G.B.6

Front

How does increasing the height of a rectangular prism affect its volume?

Back

Increasing the height increases the volume, as volume is directly proportional to height.

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with a length of 2 m, a width of 3 m, and a height of 4 m?

Back

Volume = 2 m × 3 m × 4 m = 24 cubic meters

Tags

CCSS.7.G.B.6

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 8, since volume is proportional to the cube of the dimensions.

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with a length of 10 inches, a width of 2 inches, and a height of 1 inch?

Back

Volume = 10 in × 2 in × 1 in = 20 cubic inches

Tags

CCSS.7.G.B.6

Front

What is the relationship between the volume of a prism and its base area?

Back

Volume = base area × height; the volume depends on both the base area and the height.

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has a base area of 15 square cm and a height of 4 cm, what is its volume?

Back

Volume = 15 cm² × 4 cm = 60 cubic cm

Tags

CCSS.7.G.B.6