Math Tools
Surface Area Calculator
Select a shape and enter its dimensions to calculate the total surface area. Supports cubes, rectangular boxes, spheres, cylinders, and cones.
Surface Area
150.00 square units
Side5.00
FormulaA = 6s²
Math Tools
Select a shape and enter its dimensions to calculate the total surface area. Supports cubes, rectangular boxes, spheres, cylinders, and cones.
Surface Area
150.00 square units
Surface area is the total area of all the faces or surfaces of a three-dimensional object, measured in square units. For example, a cube with side 5 has a surface area of 150 square units. Each 3D shape has its own formula. Unlike 2D area, surface area accounts for every face of the solid.
Select a 3D shape from the dropdown menu. Enter the required dimensions (side, radius, height, etc.). The calculator instantly computes the surface area using the proper formula and displays it. The stats section shows all input values and the formula used.
Varies by shape: Cube (A = 6s²), Rectangular box (A = 2(lw + lh + wh)), Sphere (A = 4πr²), Cylinder (A = 2πr(r + h)), Cone (A = πr(r + s) where s = √(r² + h²)).Each 3D shape has its own surface area formula. A cube multiplies side squared by 6. A sphere uses 4 times pi times radius squared. A cylinder adds two circular bases and the curved side. A cone requires calculating the slant height first, then applying the formula. The calculator applies the correct formula for your chosen shape.
| Input | Result | Notes |
|---|---|---|
| Cube: side 5 | 150 square units | A = 6 × 5² = 6 × 25 = 150 |
| Sphere: radius 5 | 314.16 square units | A = 4π × 5² = 4 × 3.14159... × 25 ≈ 314.16 |
| Cylinder: radius 3, height 8 | 207.35 square units | A = 2π × 3 × (3 + 8) = 2 × 3.14159... × 3 × 11 ≈ 207.35 |
Surface area is the total area of all outer surfaces (measured in square units). Volume is the space inside the shape (measured in cubic units). A cube with side 5 has surface area 150 and volume 125.
A cone has a circular base and a curved side. The curved side's area depends on slant height, not just height. Slant height is the diagonal distance from the apex to the base edge, calculated as √(r² + h²).
Yes. You can enter 5.5, 10.25, or any decimal value. The calculator handles fractional dimensions and displays results to 2 decimal places.
Use any unit (meters, feet, inches, cm, mm) as long as all dimensions are in the same unit. The result will be in square units of that measurement (e.g., square meters, square feet).
Radius is half the diameter. If the diameter is 10, the radius is 5. Measure from the center to the edge.
Yes. The calculator uses precise mathematical formulas and trigonometric functions. Results are rounded to 2 decimal places for readability.