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Surface Area Calculator

Choose the shape and enter its dimensions to calculate the surface area of that shape.

Side (a)

Rectangle

Bottom Radius (r2):

m ▾

Top Radius (r1):

m ▾

Length (l):

m ▾

Radius r3:

m ▾

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Surface Area Calculator

This Surface Area Calculator estimates the total surface area of common 3D shapes. It uses specific formulas for each shape and is useful in engineering, architecture, design, aerodynamics, and education.

How to Calculate Surface Area

The surface area of a 3D object is the sum of the areas of all its faces or surfaces. Each geometric shape has a unique formula to compute its surface area.

➥ Surface Area of Capsule

Formula: SA = 4πr² + 2πrh

r = radius
h = height

Surface Area of Capsule

➥ Surface Area of Cone

Base area = πr²
Lateral area = πr√(r² + h²)

Total SA = πr² + πr√(r² + h²)

Surface Area of Cone

➥ Surface Area of Conical Frustum

Top circle area = πr²
Bottom circle area = πR²
Lateral area = π(R + r) * l

Total SA = π(R + r) * l + πR² + πr²

R = radius of larger end
r = radius of smaller end
h = height

Surface Area of Conical Frustum

➥ Surface Area of Cube

SA = 6a²

a = length of one edge

Surface Area of Cube

➥ Surface Area of Cylinder

Base area = 2πr²
Lateral area = 2πrh

Total SA = 2πr(r + h)

Surface Area of Cylinder

➥ Surface Area of Hemisphere

Curved surface area = 2πr²
Base area = πr²

Total SA = 3πr²

Surface Area of Hemisphere

➥ Surface Area of Rectangular Prism (Cuboid)

SA = 2(lh + lw + wh)

l = length
w = width
h = height

Surface Area of Rectangular Prism

➥ Surface Area of Sphere / Ball

SA = 4πr² = πd²

Surface Area of Sphere

➥ Surface Area of Spherical Cap

SA = 2πRh

Surface Area of Spherical Cap

➥ Surface Area of Triangular Prism

SA = bh + (a + b + c)H

a, b, c = sides of triangular base
b, h = base and height of triangle
H = height of prism

Surface Area of Triangular Prism

➥ Surface Area of Pyramid

SA = l × √(l² + 4h²) + l²

l = side length of square base
h = height of pyramid

Surface Area of Pyramid

➥ Surface Area of Ellipsoid

SA = 4π * [(ab)^1.6 + (ac)^1.6 + (bc)^1.6]^(1/1.6) / 3

a, b, c = axes of the ellipsoid

Surface Area of Ellipsoid

Table of Common Shapes and Their Formulas

Shape	Formula
Capsule	SA = 4πr² + 2πrh
Cone	SA = πr² + πr√(r² + h²)
Conical Frustum	SA = π(R + r) * l + πR² + πr²
Cube	SA = 6a²
Cylinder	SA = 2πr(r + h)
Hemisphere	SA = 3πr²
Rectangular Prism	SA = 2(lh + lw + wh)
Sphere / Ball	SA = 4πr² = πd²
Spherical Cap	SA = 2πRh
Triangular Prism	SA = bh + (a + b + c)H
Pyramid	SA = l × √(l² + 4h²) + l²
Ellipsoid	SA = 4π * [(ab)^1.6 + (ac)^1.6 + (bc)^1.6]^(1/1.6) / 3

Surface Area vs Volume

Surface area measures the total area covering the outside of a 3D object, while volume measures the space inside it.

Units of Surface Area

Measured in square units such as cm², mm², m², in², ft², and yd².

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