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Surface area calculator

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The calculator needs JavaScript. The tables below give the same numbers for common cases.

How it is worked out

  1. Volume = πr²h; surface = 2πr(r + h).
  2. Volume = 282.743339 and surface area = 245.044227.
Worked examples
InputsAnswer
Shape: Rectangular box (a, b, c = length, width, height); a: 2; b: 3; c: 4The rectangular box has volume 24 cubic units and surface area 52 square units.
Shape: Cylinder (a = radius, b = height); a: 3; b: 10; c: 1The cylinder has volume 282.743339 cubic units and surface area 245.044227 square units.
Shape: Sphere (a = radius); a: 5; b: 1; c: 1The sphere has volume 523.598776 cubic units and surface area 314.159265 square units.
Shape: Cube (a = edge); a: 4; b: 1; c: 1The cube has volume 64 cubic units and surface area 96 square units.

How to use it

Surface area is the total area of the outside of a solid. Cube 6a², box 2(ab + ac + bc), cylinder 2πr(r + h), sphere 4πr², cone πr(r + slant height), square pyramid base + four triangles, hemisphere 3πr² including the flat base.

The volume is shown alongside. Surface area is in square units, volume in cubic units.

Frequently asked questions

What is the surface area of a 2 by 3 by 4 box?

2 × (6 + 8 + 12) = 52 square units.

What is the surface area of a sphere?

4πr².

Does the cylinder formula include the ends?

Yes, 2πr(r + h) covers the curved side and both circular ends.

Method: standard arithmetic shown step by step; no outside data is used. Checked 2026-11-12.

Written by Calculators Free Editorial Team · Data checked 2026-11-12
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General information only. Results are plain arithmetic on the numbers you enter; check anything important (money, health, school work) against your own records or the official source.