# Surface Area Calculator

Cube

Cuboid

Cone

Cylinder

Sphere

Hemisphere

Conical Frustum

## How To Use Surface Area Calculator

Lets first understand, what is surface area and how we can calculate surface areas of various 3-D shapes?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Cube

Let the Length of the edge $$L$$ units.

Total Surface Area will be $$6L^2$$ square units.

Lateral Surface Area will be $$4L^2$$ square units.

Cuboid

Let the Length, Breadth and Height be $$L, B, H$$ units respectively.

Total Surface Area will be $$2(L.B + B.H + H.L)$$ square units.

Lateral Surface Area will be $$2(L + B).H$$ square units.

Cone

Let the Radius and Height be $$R, H$$ units respectively.

Total Surface Area will be $$\pi R(R + \sqrt{R^2 + H^2})$$ square units.

Curved Surface Area will be $$\pi R \sqrt{R^2 + H^2}$$ square units.

Cylinder

Let the Radius and Height be $$R, H$$ units respectively.

Total Surface Area will be $$2\pi R(R + H)$$ square units.

Curved Surface Area will be $$2\pi R H$$ square units.

Sphere

Let the Radius be $$R$$ units.

Surface Area will be $$4\pi R^2$$ square units.

Hemisphere

Let the Radius be $$R$$ units.

Total Surface Area will be $$3\pi R^2$$ square units.

Curved Surface Area will be $$2\pi R^2$$ square units.

Conical Frustum

Let the Smaller Radius, Larger Radius and Height be $$r,R,H$$ units respectively.

Total Surface Are will be $$\pi (\sqrt{H^2 + (R - r)^2}(r + R) + r^2 + R^2)$$ square units.

Curved Surface Area will be $$\pi (r + R)\sqrt{H^2 + (R - r)^2}$$ square units.

For calculating surface areas of the various 3-D shapes using above surface area calculator, you have to just write the values in the given input boxes and press the calculate button, you will get the result.