cubo

Cubo is a term used in Spanish and Portuguese with several meanings. In geometry, cubo refers to the cube, a regular hexahedron with six congruent square faces, twelve edges, and eight vertices. With edge length a, its volume is a^3 and its total surface area is 6a^2. The face diagonal is a√2 and the space diagonal is a√3. The cube belongs to the class of Platonic solids and exhibits full octahedral symmetry, described by the Oh symmetry group.

In everyday language, cubo also means a bucket or pail, typically a container with a handle used to carry liquids or other materials. The capacity of buckets varies, and phrases such as “cubo de hielo” are used to designate an ice bucket in common speech.

As a proper noun, cubo appears as a surname and as a toponym in some Spanish- and Portuguese-speaking regions. In cultural and historical contexts, the word can appear in place names, family names, or product brands, reflecting its dual meaning as both a geometric object and a container.

Summary:

- In mathematics, cubo = cube: a regular hexahedron with well-known volume, area, and diagonal formulas.

- In daily use, cubo = bucket or pail.

- It can function as a surname or place name in various regions.