# Surface Area Calculator – Surface Area Formulas

Find the surface area of a shape by entering the dimensions and selecting a unit of measurement.

**Select a Shape:**

## Rectangular Prism

## Cube

## Sphere

## Cylinder

## Cone

## Pyramid

## Capsule

## Cap

## Surface Area Result:

## On this page:

- Surface Area Calculator
- How to Find Surface Area
- Surface Area Formulas
- Cube Surface Area Formula
- Rectangular Prism Surface Area Formula
- Sphere Surface Area Formula
- Cylinder Surface Area Formula
- Cone Surface Area Formula
- Pyramid Surface Area Formula
- Capsule Surface Area Formula
- Cap Surface Area Formula

## How to Find Surface Area

Surface area *SA* is the measure of the area of the surface of a 3-dimensional geometric shape or object. Surface area is measured in square units, such as square inches or feet.

Surface area is equal to the area of each side of an object added together. For instance, the surface area of a cube is equal to the area of each of the six sides of the cube added up.

When calculating the surface area of a shape, it is important to take all measurements using the same unit of measure. If your measurements are in different units, convert each measurement to the unit you want the results in.

Use our length unit conversion calculators to convert your measurements to a consistent unit.

Of course, the easiest way to find surface area is to use a calculator like the one above, but you can also find it using a formula. Read on to learn how to do it yourself.

## Surface Area Formulas

Find the surface area for common shapes using the formulas below.

### Cube Surface Area Formula

SA = 6a^{2}

a = edge a length

### Rectangular Prism Surface Area Formula

SA = 2lw + 2lh + 2wh

l = length

w = width

h = height

### Sphere Surface Area Formula

SA = 4πr^{2}

r = radius

### Cylinder Surface Area Formula

SA = 2πr(r + h)

base surface area = 2πr^{2}

lateral surface area = 2πrh

r = radius

h = height

### Cone Surface Area Formula

SA = πr(r + r^{2} + h^{2})

base surface area = πr^{2}

lateral surface area = πrr^{2} + h^{2}

r = radius

h = height

### Pyramid Surface Area Formula

SA = e^{2} + 2e(e ÷ 2)^{2} + h^{2}

base surface area = e^{2}

lateral surface area = 2e(e ÷ 2)^{2} + h^{2}

e = edge length

h = height

### Capsule Surface Area Formula

SA = 2πr(2r + h)

end surface area = 4πr^{2}

lateral surface area = 2πrh

r = radius

h = height

### Cap Surface Area Formula

SA = π(r^{2} + h^{2}) + πr^{2}

base surface area = πr^{2}

top surface area = π(r^{2} + h^{2})

r = radius

h = height

You’ll probably also find our area and volume calculators useful. We have formulas for many geometric shapes.