Finding the Volume of Rectangular Prisms

Front

What is the formula to find 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 cm³

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³, in³) are used to measure volume.

Tags

CCSS.5.MD.C.4

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

Front

How do you find the height of a rectangular prism if you know the volume, length, and width?

Back

Height = Volume ÷ (Length × Width)

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = 2 m × 3 m × 4 m = 24 m³

Tags

CCSS.7.G.B.6

Front

If the volume of a rectangular prism is 100 cm³ and the length is 5 cm and the width is 4 cm, what is the height?

Back

Height = 100 cm³ ÷ (5 cm × 4 cm) = 5 cm

Tags

CCSS.7.G.B.6

Front

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

Back

The volume doubles because Volume = Length × Width × (2 × Height).

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has a volume of 2160 in³ and a length of 10 in and a width of 12 in, what is the height?

Back

Height = 2160 in³ ÷ (10 in × 12 in) = 18 in

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with a length of 6 cm, width of 6 cm, and height of 8 cm?

Back

Volume = 6 cm × 6 cm × 8 cm = 288 cm³

Tags

CCSS.7.G.B.6

Front

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

Back

The volume increases by a factor of 8 (2³) because Volume = (2 × Length) × (2 × Width) × (2 × Height).

Tags

CCSS.7.G.B.6