# Surface Area Calculator

Cube

Cuboid

Cone

Cylinder

Sphere

Hemisphere

Conical Frustum

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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.