Volume: Rectangular Prisms

Front

What is volume?

Back

Volume is the amount of space that a substance (solid, liquid, gas) occupies, measured in cubic units.

Tags

CCSS.5.MD.C.4

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the unit of measurement for volume?

Back

Common units for volume include cubic centimeters (cm³), cubic meters (m³), and liters.

Tags

CCSS.3.MD.A.2

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 cm³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?

Back

Volume = 2 cm × 3 cm × 4 cm = 24 cm³.

Tags

CCSS.7.G.B.6

Front

What happens to the volume if you double the height of a rectangular prism?

Back

The volume doubles because 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 10 cm, width of 2 cm, and height of 1 cm?

Back

Volume = 10 cm × 2 cm × 1 cm = 20 cm³.

Tags

CCSS.7.G.B.6

Front

If the volume of a rectangular prism is 48 cm³ and the base area is 12 cm², what is the height?

Back

Height = Volume ÷ Base Area = 48 cm³ ÷ 12 cm² = 4 cm.

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with dimensions 1 m, 1 m, and 1 m?

Back

Volume = 1 m × 1 m × 1 m = 1 m³.

Tags

CCSS.7.G.B.6

Front

How does changing the width of a rectangular prism affect its volume?

Back

Changing the width affects the volume; if width increases, volume increases, and vice versa.

Tags

CCSS.7.G.B.6