Surface Area Calculator
Calculate surface area of various 3D shapes.
Shape Dimensions
Surface Area Result
Surface Area
150.00
square units
Shape
cube
Formula:
SA = 6s² = 6 × 5² = 150.00
About This Calculator
The Surface Area Calculator helps you calculate the total surface area of various 3D shapes including cubes, rectangular prisms, cylinders, spheres, and cones. Surface area is the total area of all the faces or surfaces of a 3D object.
Simply select the shape you want to calculate, enter the required dimensions, and the calculator will automatically compute the surface area using the appropriate formula. Surface area is measured in square units and is important for applications like painting, wrapping, and material calculations.
Formula & Calculation Method
Surface Area Formulas:
Cube: SA = 6s²
Rectangular Prism: SA = 2(lw + lh + wh)
Cylinder: SA = 2πr(r + h) = 2πr² + 2πrh
Sphere: SA = 4πr²
Cone: SA = πr(r + l) = πr² + πrl
where l = slant height = √(r² + h²)
Surface area measures the total area of all surfaces of a 3D object. For shapes with curved surfaces (cylinder, sphere, cone), the formulas account for the curved surface area. All measurements should be in the same units, and the result will be in square units.
How to Use This Calculator
- Select Shape: Choose the 3D shape you want to calculate.
- Enter Dimensions: Input the required measurements (length, width, height, radius).
- View Results: See the calculated surface area and the formula used.
- Units: Ensure all measurements are in the same units (e.g., all in cm or all in inches).
Frequently Asked Questions
What is surface area?
Surface area is the total area of all the surfaces (faces) of a 3D object. It measures how much material would be needed to cover the object. Surface area is measured in square units (e.g., cm², m², in²).
What is the difference between surface area and volume?
Surface area measures the total area of all surfaces of a 3D object (in square units), while volume measures the space inside the object (in cubic units). They measure different properties of the shape.
How is surface area used in real life?
Surface area is used in many practical applications: calculating paint needed for walls, determining material needed for wrapping, designing packaging, calculating heat transfer, and estimating material costs for construction.
What is slant height in a cone?
The slant height (l) of a cone is the distance from the apex to any point on the edge of the circular base. It can be calculated using the Pythagorean theorem: l = √(r² + h²), where r is the radius and h is the height.
Calculator by
NumCalculators Editorial Team
Multi-disciplinary Expert Team