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Surface Area Calculator

Calculate the surface area of spheres, cylinders, cones, cubes, and other 3D shapes.

Shape Configuration

Select a 3D geometry and define its dimensions.

Surface area is the total area of all faces and curved surfaces of a 3D object.

Understanding the Surface Area Calculator

Calculate the total surface area of common 3D shapes including cubes, spheres, cylinders, cones, and rectangular tanks. Perfect for construction, packaging, and geometry homework.

Guide

How to use the Surface Area Calculator

  • 1Select the 3D shape from the dropdown menu.
  • 2Enter the required dimensions (Radius, Height, Length, etc.) in the input fields.
  • 3The calculator updates instantly as you type.
  • 4Review the total surface area result in square units.
Applications

Common Use Cases

Construction: Estimating the amount of paint or wallpaper needed for a room.
Mechanical Engineering: Calculating the heat dissipation area of a component.
Packaging: Determining the amount of material required to create a box or container.
Education: Solving solid geometry problems and verifying calculations.

The Maths Behind the Calculation

A = Total Area of all Surfaces

Formulas vary by shape: Cube (6s²), Sphere (4πr²), Cylinder (2πrh + 2πr²), Cone (πr(r + √(h² + r²))), Rectangular Tank (2(lw + lh + wh)).

Knowledge Base

Frequently Asked Questions

What is surface area vs volume?

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

Does the order of L, W, H matter for a tank?

For a rectangular tank, the total surface area calculation (2(lw+lh+wh)) is commutative, so you can swap Length, Width, and Height without changing the result.

Are units important?

Yes! Ensure all dimensions are in the same unit (e.g., all meters or all inches). The result will be in square units (e.g., square meters).

Regional Notice: United States

"Federal tax estimates are based on 2024 brackets. Consult a tax professional for official filing."