circumference and area of a circle, cube, cuboid, sphere
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Surface Area Formulas
Surface Area Formulas | Calculate the Surface Area of Cone, Sphere, Box, Prism, Cylinder, Pyramid
September 10, 2020 by rajathe
This surface area calculator helps you find the area of the most common three-dimensional solids. If you ever wondered how to find surface area or what is the lateral surface area, this calculator is here to help you. In this article, you can find the formulas for surface area of a sphere, cube, cylinder, cone, pyramid, and rectangular/triangular prism. We will also explain how to calculate the surface area of a cone as an example.
What is a surface area? Surface area definition
Surface area is a total area that the surface of the object occupies. In other words, it’s the total area of the surface of a 3D object.
Sometimes the surface area may be split into a sum of base area(s) and lateral surface area. The lateral surface is the area of all the sides of the object, excluding the area of its base and top. This division is used for shapes which have an obvious distinction between base and the other part – e.g., for a cylinder, cone, a pyramid or a triangular prism. It’s rarely applied for solids for which we are not sure which faces should be treated as bases (like in a cube or box), and it’s not used for smooth surfaces such as a sphere.
Formula for the surface area of…
Our surface area calculator can find the surface area of seven different solids. The formula depends on the type of the solid.
Surface area of a sphere: A = 4πr², where r stands for the radius of the sphere.
Surface area of a cube: A = 6a², where a is the side length.
Surface area of a cylinder: A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder.
Surface area of a cone: A = πr² + πr√(r² + h²), where r is the radius and h is the height of the cone.