Math Playground
Geometry

Cube

Six squares, twelve edges, eight corners — the simplest 3D solid.

A cube is the simplest 3D solid: six identical squares meeting at right angles. Every dice, sugar cube and Rubik's cube starts here.

Volume
V = s³

s is the edge length

Surface area
A = 6 s²

By the numbers

  • 6 faces (all squares)
  • 12 edges (all the same length)
  • 8 vertices (each is a corner of 3 faces)
  • 4 lengths of internal diagonal — all equal to s√3

A cube is the 3D version of a square. A square is the 2D version of a line segment. The 4D version is called a tesseract — and yes, geometers happily talk about its 24 square faces.