Cube

A box-shaped 3D object with six identical square faces.

Go to Surface Area or Volume

images/polyhedra.js?mode=cube

Cube Facts

Notice these interesting things:

hexahedron hdr
  • It has 6 faces
  • It has 12 edges
  • It has 8 vertices (corner points)
  • Each face has 4 edges (and is a square )
  • At each vertex 3 edges meet
  • It is one of the Platonic Solids

 

A cube is also a regular hexahedron, from the Greek 'hexa-' meaning 6, because it is a polyhedron with 6 faces.

 

pair dice

Cubes make great 6-sided dice because they are regular in shape, and each face is the same size.

In fact we can make fair dice using all of the Platonic Solids.

 

Make your own Cube:
cut out the shape and glue it together.
Cube Model Template

 

salt crystals
Salt crystals naturally grow in cube-like shapes,
because the atoms link up as corners of a cube.

Surface Area

The surface area of a cube is the total area of all six square faces:

Surface Area = 6 × (Edge Length)2

Example: Edge Length = 4

Surface Area= 6 × (Edge Length)2
 = 6 × 42
 = 6 × 16
 = 96

Volume

Volume = (Edge Length)3

Example: Edge Length = 4

Volume= (Edge Length)3
 = 43
 = 4 × 4 × 4
 = 64
cube

Example: this cube is 0.5 meters on each side, what is its volume?

Ignoring the slight rounding on edges:

Volume= (Edge Length)3
 = (0.5 m)3
 = 0.5 m × 0.5 m × 0.5 m
 = 0.125 m3

Since 1 m3 equals 1000 liters this is also equal to 125 liters.

 

855, 856, 857, 858, 1822, 1823, 1835, 1836, 1837, 1838