In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron. The cube is dual to the octahedron. It has cubical symmetry (also called octahedral symmetry). It is special by being a cuboid and a rhombohedron.
A cube is a solid shape that has :
- 6 square faces all equal in size.
- 8 vertices ( corners) and
- 12 equal edges
6b2 or 6 x b2
Volume= b3 or b x b x b
= 10 x 10 x 10
= 100 x 10
= 1.000 cm3
Example
A cube has 12 cm ribs. Calculate the surface area and volume of a cube !
Surface area = 6b2
= 6 x 12 x 12
= 72 x 12
= 864 cm
Volume = b x b x b
= 12 x 12 x 12
= 144 x 12
= 1.728 cm
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