Volume of Cube
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Volume of Cube

- Circumscribed Sphere Radius

Circumscribed Sphere Radius

A cube with a side length (S) of 6 has a circumscribed sphere with a radius (R) of 5.196.

Circumscribed Sphere Radius Formula

for cubes with a side length S find the radius R of the circumscribed sphere

  • R = S * (√3/2)

substitute the side length S with the measured value, in this example lets use a side length of 6

  • R = 6 * (√3/2)

multiply the side length by half the square root of three

  • R = 5.196
  • Radius of a Sphere that Circumscribed a Cube Formula

    Given a cube with a side length S the radius (R) of a sphere that circumscribes it will be equal to the Side length multiplied by half the square root of 3.

    Half the square root of 3 is approximately 0.8660


    What is the formula for the volume of a Cube?

    V = S3

    What is the formula for the volume of a Rectangular Prism?

    V = L x W x H

    Other Formulae

    for cubes with side length S

    Cube Surface Area

    Cube Face Diagonal
    Cube Space Diagonal
    Radius of Inscribed Sphere
    All formulae...


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    A cube is a three dimensional geometry with six equal square faces meeting at ninety degrees along each edge and aligned with each vertex being formed from the intersection of three squares so that a completely enclosed volume is formed
    Rectangular Prism
    A rectangular prism is a three dimensional geometry with six faces. Unlike a cube the edge legths of each face may be unequal but parallel. Like a cube all faces must meet along the edges and align to form a vertex from the intersection of three faces so that the prism has a completely enclosed volume.

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