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Cuboid
 

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Cuboid







In . All angles are Right Angle s, and opposite faces of a cuboid are Equal . It is also a right rectangular Prism '''. The term "rectangular prism" is ambiguous. Also the term ''rectangular Parallelepiped '' is used.

The square cuboid, '''square box''' or '''right square prism''' (also ambiguously called ''square prism'') is a special case of the cuboid in which at least two faces are squares. The Cube is a special case of the square prism in which all faces are squares.

If the dimensions of a cuboid are ''a'', ''b'' and ''c'', then its Volume is ''abc'' and its Surface Area is 2''ab'' + 2''bc'' + 2''ac''.

The length of the Space Diagonal is d = \sqrt{a^2+b^2+c^2} .

It is a Convex Polyhedron . It contains faces that encloses a single region of space. It has 6 Faces , and 8 Vertices , and 12 Edges .

Euler's Formula (the number of faces (''F''), vertices (''V''), and edges (''E'') of a polyhedron are related by the formula ''F + V = E'' + 2) gives here 6 + 8 = 12 + 2.

Cuboid shapes are often used for Box es, Cupboard s, Room s, buildings, etc. Equal cuboids can fill space without holes; compared with oblique shapes the volume is fairly large in relation to the surface area. The shape is fairly versatile in being able to contain multiple smaller cuboids, e.g. Sugar cubes in a box, small boxes in a large box, a cupboard in a room, and rooms in a building.