Squaring of Circle | Ellipse | Rectangle | Polygon || Square Multiplication

Cubing of Sphere | Ellipsoid | Cuboid || Cube Multiplication

Cubing the Sphere - Calculator

Name: Cubing the Sphere - Calculator
Author: Jürgen Kummer

Calculator for the edge length of a cube and the radius of a sphere, if both have the same surface area or volume. The cubing of the sphere is the three-dimensional equivalence to the squaring of the circle. Here also, an exact calculation is not possible, only an approximation at any accuracy. Please specify, if surface area or volume should be equal. Then enter one value, the other values will be calculated. Also pi can be entered or something like 2*pi.

equal surface areas equal volumes

	Cube	Sphere
Edge length:
Radius:
Surface area:
Volume:

Round to decimal places.

The unit is the same for edge length and radius. The surface area has this unit squared, the volume has this unit to the power of three. For example, length in centimeters, area in square centimeters, volume in cubic centimeters.

Example: cube and sphere with almost equal volumes. The edge length of the cube is 100 pixels, the sphere radius is 62 pixels, because there are no fractions of pixels.

If the surfaces are equal, the volume of the sphere is larger than that of the cube. If the volumes are equal, the surface area of the cube is larger than that of the sphere. The side length of the square is always between the radius and the diameter of the sphere.

Squaring a circle is a classic problem of antiquity and involves a construction, this is the drawing with compass and ruler. This of course takes place in two dimensions; the procedure is difficult to transfer to three-dimensional objects such as cubes and spheres. However, if a construction were to take place in three dimensions, these shapes would likely pose the same problems as their two-dimensional equivalents, square and circle. The surface area and volume of a sphere are calculated using the irrational number π, the same number which is also needed for the circle.

Last updated on 01/22/2026. Author: Jürgen Kummer

© Jumk.de Webprojects | Online Calculators | Imprint & Privacy | German: Quadratur des Kreises - Rechner

↑ nach oben ↑