Lateral surface
Template:Short description Template:Refimprove
The lateral surface of an object is all of the sides of the object, excluding its bases (when they exist).
Lateral Surface Area
The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.
For a cube the lateral surface area would be the area of the four sides. If the edge of the cube has length Template:Mvar, the area of one square face Aface = a ⋅ a = a2Script error: No such module "Check for unknown parameters".. Thus the lateral surface of a cube will be the area of four faces: 4a2Script error: No such module "Check for unknown parameters"..
More generally, the lateral surface area of a prism is the sum of the areas of the sides of the prism.[1] This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism.[2]
For a right circular cylinder of radius rScript error: No such module "Check for unknown parameters". and height hScript error: No such module "Check for unknown parameters"., the lateral area is the area of the side surface of the cylinder: A = 2πrhScript error: No such module "Check for unknown parameters"..
For a pyramid, the lateral surface area is the sum of the areas of all of the triangular faces but excluding the area of the base.
For a cone, the lateral surface area would be Template:Pi r⋅lScript error: No such module "Check for unknown parameters". where Template:Mvar is the radius of the circle at the bottom of the cone and Template:Mvar is the lateral height (the length of a line segment from the apex of the cone along its side to its base) of the cone (given by the Pythagorean theorem l=
- REDIRECT Template:Radic
Template:Rcat shellScript error: No such module "Check for unknown parameters". where Template:Mvar is the height of the cone)
References
Further reading