Volume of Rectangular Prisms

Front

What is a rectangular prism?

Back

A three-dimensional shape with six rectangular faces, where opposite faces are equal in area.

Tags

CCSS.2.G.A.1

CCSS.1.G.A.1

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

Cubic units, such as cubic centimeters (cm³), cubic meters (m³), or liters.

Tags

CCSS.3.MD.A.2

Front

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

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cm³.

Tags

CCSS.7.G.B.6

Front

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

Back

The volume also doubles, since volume is directly proportional to height.

Tags

CCSS.7.G.B.6

Front

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

Back

The volume increases as any of the dimensions (length, width, height) increase.

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

Front

What is the formula for finding the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + length × height + width × height).

Tags

CCSS.7.G.B.6

Front

If the length of a rectangular prism is 10 cm and the width is 2 cm, what is the volume if the height is 5 cm?

Back

Volume = 10 cm × 2 cm × 5 cm = 100 cm³.

Tags

CCSS.7.G.B.6

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a shape, while surface area measures the total area of its outer surfaces.