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Cube Geometry: Volume, Surface Area & Inscribed Sphere

A regular hexahedron with 6 equal square faces. A sphere inscribed in a cube has a diameter equal to the cube side length.

Key Formulas for Cube
Volume: V = s^3
Surface Area: A = 6s^2

Inscribing a Sphere Inside a Cube

When a sphere is inscribed snugly within a cube of side length s, the diameter of the sphere is d = s, meaning radius r = s / 2.

Cube Volume = s³
Cube Surface Area = 6s²

Calculate Cube Dimensions Instantly

Need to calculate volumes, areas, or radius values quickly? Use our interactive math calculators:

Sphere Volume Calculator Hemisphere Calculator

Other Geometry Shapes

Sphere

A sphere is a perfectly symmetrical three-dimensional geomet...

Hemisphere

A hemisphere is formed by cutting a sphere into two equal ha...

Circle

A circle is the 2D foundation of spherical geometry. Cutting...

Cylinder

A cylinder has two parallel circular bases. Archimedes prove...

Cone

A cone tapers smoothly from a circular base to an apex point...

Cuboid

A 3D box shape with six rectangular faces. Crucial for under...