# Surface Area Calculator

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

## Surface Area:

## On this page:

- Surface Area Calculator
- How to Find Surface Area
- Surface Area Formulas
- Surface Area of a Cube
- Surface Area of a Rectangular Prism
- Surface Area of a Sphere
- Surface Area of a Cylinder
- Surface Area of a Cone
- Surface Area of a Pyramid
- Surface Area of a Triangular Prism
- Surface Area of a Capsule
- Surface Area of a Hemisphere
- Surface Area of a Spherical Cap

## How to Find Surface Area

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

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.

There are several types of surface area: curved surface area, lateral surface area, and total surface area.

*Curved surface area* is the area of the curved regions of an object.

*Lateral surface area* is the area the polygon faces of the object, not including the top and bottom bases.

*Total surface area* is the area of the whole object, including the curved surface, lateral faces, and the area of the base.

When calculating surface area, 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 same unit first, then use the formulas below to solve.

The calculator above can easily find the surface area for a shape, but you can also find it using a formula.

## Surface Area Formulas

There is a different surface area formula for each shape; see the formula for each one below.

### Surface Area of a Cube

SA = 6a^{2}

a = edge a length

### Surface Area of a Rectangular Prism

SA = 2lw + 2lh + 2wh

l = length

w = width

h = height

### Surface Area of a Sphere

SA = 4πr^{2}

r = radius

### Surface Area of a Cylinder

SA = 2πr(r + h)

Base SA = 2πr^{2}

Lateral SA = 2πrh

r = radius

h = height

### Surface Area of a Cone

SA = πr(r + r^{2} + h^{2})

Base SA = πr^{2}

Lateral SA = πrr^{2} + h^{2}

r = radius

h = height

### Surface Area of a Pyramid

SA = e^{2} + 2e(e ÷ 2)^{2} + h^{2}

Base SA = e^{2}

Lateral SA = 2e(e ÷ 2)^{2} + h^{2}

e = edge length

h = height

### Surface Area of a Triangular Prism

s = ^{1}/_{2}(a + b + c)

Base SA = s(s – a)(s – b)(s – c))

Lateral SA = h × (a + b + c)

### Surface Area of a Capsule

SA = 2πr(2r + h)

Curved SA = 4πr^{2}

Lateral SA = 2πrh

r = radius

h = height

### Surface Area of a Hemisphere

SA = 3πr^{2}

Base SA = πr^{2}

Curved SA = 2πr^{2}

r = radius

### Surface Area of a Spherical Cap

SA = π(r^{2} + h^{2}) + πr^{2}

Base SA = πr^{2}

Curved SA = π(r^{2} + h^{2})

r = radius

h = height

You’ll probably also find our volume calculator useful.