Volume of Rectangular Prisms

Front

What is the volume of a rectangular prism?

Back

The volume of a rectangular prism is the amount of space it occupies, calculated using the formula V = Lwh, where L is the length, w is the width, and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the formula used to find the volume of a rectangular prism?

Back

V = Lwh

Tags

CCSS.7.G.B.6

Front

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

Back

60 in³ (V = 4 * 3 * 5 = 60)

Tags

CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic inches (in³), cubic centimeters (cm³), or liters.

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 of a rectangular prism increases its volume, while decreasing the height decreases its volume, assuming length and width remain constant.

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 will increase by a factor of four, because V = Lwh and both L and w are doubled (2L * 2w = 4Lw).

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 3 cm?

Back

60 cm³ (V = 10 * 2 * 3 = 60)

Tags

CCSS.7.G.B.6

Front

If the volume of a rectangular prism is 120 in³ and the length is 10 in, what is the height if the width is 3 in?

Back

The height is 4 in (V = Lwh; 120 = 10 * 3 * h; h = 120 / 30 = 4).

Tags

CCSS.7.G.B.6

Front

What is the relationship between the volume and the dimensions of a rectangular prism?

Back

The volume is directly proportional to the length, width, and height; if any dimension increases, the volume increases.

Tags

CCSS.7.G.B.6

Front

Can a rectangular prism have a volume of zero?

Back

Yes, if any dimension (length, width, or height) is zero, the volume will be zero.

Tags

CCSS.7.G.B.6