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Cube


A parallelepiped rectangle with all congruent edges (a = b = c) is named cube. This way, the six faces are square.

Base and cube diagonals

Consider the following figure:

dç= cube diagonal

dB = base diagonal

In the ABCD base, we have:


In the ACE triangle we have:


Side area

The lateral area THELis given by the area of ​​the side squares The:

THEL= 4th2

Total area

The total area THETis given by the area of ​​the six side squares The:

THET= 6a2

Volume

Similar to the rectangle parallelepiped, the volume of an edge cube The It is given by:

V = a. The . a = a3

Next: Generalizing the Volume of a Prism