Their faces are equilateral triangles.
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A die can have any number of sides; one-sided dice are a joke in the form of a sphere and two-sided dice are often a simple coin shape. Others use platonic solids to give the required number of sides.The most commonly used are six-sided dice, noted as d6 and usually cubic, but other common numbers include d4 (a tetrahedron), d8 (an octahedron), d10 and d12 (a dodecahedron).
Correct.
There are seven topologically different types of convex hexahedra and three concave ones. These have different names such as parallelepiped, left-handed tetragonal antiwedge, or simply "4,4,4,4,3,3 faces". The last of these is a tetrahedron with a v-shaped chunk cut out of one edge.
A point that two sides of a polygon have in common is called a vertex. Each regular polygon has an equal number of sides as vertices.
A rectangular prism has 6 faces, they are grouped into three pairs of parallel, identical faces. A common rectangular prism is a regular box.