# Volume and Surface Area

The surface area of any given object is the area or region occupied by the surface of the object. Surface area is explained as the sum of the areas of all the closed surfaces of a solid. There are three types of surface area: lateral surface area, curved surface area, and total surface area. Volume is the amount of space available in an object.

## What is Surface Area?

The amount of external space that covers a three-dimensional shape is called it’s surface area. The surface area of a solid shape is categorised into three types, namely lateral surface area, curved surface area, total surface area

Lateral Surface Area: The lateral surface area is known as the area of all the faces except the bottom and top faces or bases.

Curved Surface Area: The curved surface area is known as the area of all the curved regions of the solid.

Total Surface Area: The total surface area is the area of all the faces (including top and bottom faces) of the solid object.

## What is Volume?

The Volume is the amount of space in a certain 3D object. The total amount of space,  that an object or substance occupies is called volume. It is measured in cubic units.

### Formulae of Surface Area and Volume

 Cube Volume = x³Surface area = 6x² Cuboid Volume = xyzSurface area = 2xy + 2xz + 2yz Cylinder Volume = π r²hArea of curved surface = 2π rhArea of each end = π r²Total surface area = 2π rh + 2π r² Prism A prism has a uniform cross-sectionVolume = area of cross section × length = A l