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# Area and Volume

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Become familiar with methods used to calculate two-dimensional and three-dimensional objects.

### Calculate Circumference, Area and Volume

Measurement calculations are important in daily life. Area calculations are needed in many activities, including planning a garden, determining how much paint to cover a surface, or purchasing new carpet. Calculating volume is important when purchasing fuel, estimating beverages for a birthday celebration, planning hydration for a long hike, or selecting an appropriate storage container. Apply these basic formulas to calculate circumference, area, and volume of simple geometric shapes commonly used in weights and measures applications.  TIP: Express all dimensions in terms of the same unit - for example, in terms of meter. A computed area will then be in terms of the square of the dimensional unit used - for example, square meter (m2) - and a computed volume will be in terms of the cube of the dimensional unit used - for example, cubic meter (m3).

• Circumference of circle: 3.1416 × diameter.
• Area of circle: 0.7854 × diameter × diameter.
• Area of rectangle: Length × width.
• Capacity of rectangular bin: Length × width × depth.
• Volume of cylinder: 0.7854 × diameter × diameter × height.
• Approximate capacity of container having sloping sides:  vertical height × one-half the sum of top area and bottom area.

### Basic Definitions

• Perimeter: The continuous line forming the boundary of a closed geometric figure.
• Circumference: The distance around the edge of a circle (or any curvy shape). A type of perimeter.
• Diameter: Any straight line segment between two points on the circumference of a circle that passes through the center of the circle. Twice the length of the radius of a circle.
• Area: The size of a surface. The amount of space inside the boundary of flat shape or the surface of an object. Measured in square units.
• Volume: The measurement of amount of space occupied inside the three dimensional space. Measured in cubic units.
• Capacity: The maximum amount that an object can contain. Measured in cubic units.

## Contacts

• Metric Program
Created February 17, 2021, Updated February 25, 2022