Skip to main content
Calcimator

Surface Area Calculator

Calculate surface area, lateral area, and volume for cubes, spheres, cylinders, cones, and pyramids.

Inputs

Results

Total Surface Area

471.24

Lateral Surface Area314.16
Volume785.4
ShapeCylinder
FormulaSA = 2πr(r + h)
How to Use This Calculator
  1. Select the 3D shape from the dropdown (cube, sphere, cylinder, cone, or rectangular pyramid).
  2. Enter the required dimensions — for example, radius and height for a cylinder.
  3. Total Surface Area includes all faces; Lateral Surface Area excludes the base(s).
  4. Key formulas: sphere SA = 4πr²; cylinder SA = 2πr² + 2πrh; cone SA = πr² + πrl (where l is slant height).
  5. The pie chart shows the contribution of each face (e.g., base vs. lateral) to total surface area.
  6. Surface area is relevant for painting, coating, heat transfer, and packaging design problems.

How the result changes with Dimension 1 (side/radius/length)

Dimension 1 (side/radius/length)Total Surface Area
1,0006,346,017.16
3,50077,188,931.5
6,500265,872,986.27
9,000509,503,496.56

What each input means

Shape
The geometric shape to calculate.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Shape = 3, Dimension 1 (side/radius/length) = 5, Dimension 2 (width/height) = 10, Dimension 3 (height, if needed) = 5 = 4 input(s) provided
  2. Calculate Total Surface Area
    Total Surface Area
    471.2389 = 471.2389
  3. Calculate Lateral Surface Area
    Lateral Surface Area
    314.1593 = 314.1593
  4. Calculate Volume
    Volume
    785.3982 = 785.3982

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators.

Related Calculators

The questions that sit next to this one — chosen by subject, including calculators filed under a different category.

Geometry & Measurement

Volume Calculator

Calculate the volume and surface area of common 3D shapes — cube, box, sphere, cylinder, and cone. Convert between units.

Geometry & Measurement

Area Calculator

Calculate the area and perimeter of common shapes — rectangle, circle, triangle, trapezoid, and ellipse.

Geometry & Measurement

3D Shape Master Calculator

Complete 3D geometry calculator for all common shapes — cubes, boxes, spheres, cylinders, cones, pyramids, prisms, ellipsoids, torus, and capsules. Calculate volume, surface area, and more.

Nanotechnology

Surface-to-Volume Ratio Calculator

S/V ratio for spheres, cubes, and cylinders at nanoscale.

More in Math & Statistics.