Learn Class 11 Math - Surface Areas and Volumes

Any three-dimensional geometric shape's surface area and volume can be computed. The area or region occupied by the object's surface is its surface area. The quantity of space accessible in an object is referred to as volume.

What does "surface area" refer to?

A flat two-dimensional surface's area is the amount of space it takes up. It's counted in squares. Surface area refers to the amount of space filled by a three-dimensional object's exterior surface. It's also measured in squares.

There are two types of areas in general:

  • The total surface area
  • Curved Surface Area/Lateral Surface Area

Total surface area

The region that includes the base(s) and the curving component is the total surface area. It refers to the whole area of the object's surface. The total area of a shape with a curved surface and base is the sum of the two areas.

Curved Surface Area/Lateral Surface Area

The area of only the curved component of a shape, omitting the base, is a curved surface area (s). For shapes like a cylinder, it's also known as the lateral surface area.

What is volume?

The volume of an object or substance is the quantity of space it takes up, measured in cubic units. The volume of a circle, for example, cannot be calculated, whereas the volume of a sphere can. A sphere is a three-dimensional shape; hence this is the case.