Surface Area Calculator
Use this surface area calculator to find the total surface area of a cube, sphere, or cylinder. Select a shape, enter its required dimensions, and calculate the result in square units.
How It Works
Select a shape and enter the required dimensions. The calculator applies the appropriate surface area formula for that shape and returns the total surface area in square units.
Formula
Cube: SA = 6s². Sphere: SA = 4πr². Cylinder: SA = 2πr² + 2πrh.
Source: OpenStax — Geometric Formulas
Example
For example, a cube with a side length of 3 has a surface area of 54 square units. A sphere with a radius of 3 has a surface area of 36π square units. A cylinder with radius r and height h uses the formula 2πr² + 2πrh.
Frequently Asked Questions
- Which shapes does this surface area calculator support?
- This calculator supports cubes, spheres, and cylinders.
- How do you calculate the surface area of a cube?
- Multiply 6 by the square of the cube's side length. The formula is SA = 6s².
- How do you calculate the surface area of a sphere?
- Multiply 4π by the square of the sphere's radius. The formula is SA = 4πr².
- How do you calculate the surface area of a cylinder?
- Use SA = 2πr² + 2πrh, where r is the radius and h is the height.
- What units are used for surface area?
- Surface area is measured in square units, such as cm², m², in², or ft².
- What is the difference between surface area and volume?
- Surface area measures the total area covering the outside of a three-dimensional object and is expressed in square units. Volume measures the space inside the object and is expressed in cubic units.
Related Calculators
- Volume CalculatorCalculate the volume of a cube, sphere, cylinder or cone.
- Area CalculatorCalculate the area of a square, rectangle, triangle or circle.
- Circle CalculatorCalculate a circle's area, circumference and diameter from its radius.
- Pythagorean Theorem CalculatorCalculate the missing side of a right triangle using the Pythagorean theorem. Find the hypotenuse or either leg when the other two sides are known.
- Right Triangle CalculatorCalculate a missing side of a right triangle given the other two.
- Triangle CalculatorCalculate a triangle's angles, area and perimeter from its three side lengths.