What is a Hexahedron?

Instructor: T.J. Hoogsteen

T.J. is currently a grade 5 teacher and Vice-Principal. He has a master's degree in Educational Administration and is working toward an Ed.D. in Educational Leadership.

Do you know what a hexahedron is? Well, you're about to find out! Keep on reading to find out what a hexahedron is, as well as see pictures of some of the different types.

Defining a Hexahedron

Do you know what a hexahedron is? Maybe the prefix, 'hex', makes you think of a spell that a witch might cast on a person. But as cool or scary as that sounds, the prefix, 'hex', has nothing to do with witches' spells.

The prefix, 'hex', actually comes from Greek, and it means six. So a hexahedron is any polyhedron with six faces. A polyhedron is a 3-dimension shape with flat polygonal faces, straight edges, and sharp corners or vertices. That means hexahedra (plural) are 3-dimensional shapes that have six faces, straight edges, and sharp corners.

Quadrilaterally-Faced Hexahedra

There are different kinds of hexahedra, but the most basic and common types are convex and concave hexahedra. There are several types of convex hexahedra, including pentagons, triangles and quadrilaterals, where each face has four sides. Quadrilaterally-faced hexahedra have six faces, eight corners, and 12 edges.

One of most familiar type of quadrilaterally-faced hexahedra is the cube. A cube is not only a convex hexahedron but also a regular hexahedron because all of its faces are exactly the same. Here is an example of a cube:

Cubes are Quadrilaterally Faced Hexahedra.
Cube

Other types of quadrilaterally-faced hexahedra include rectangular cuboids, where the six faces are made up of three pairs of rectangles. Here is an example:

Rectangular Cuboid
Rectangular Cuboid

Quadrilaterally-faced hexahedra also include the triangular trapezohedrons. The first type is made up of equal rhombi, while the second type is made of equal quadrilaterals.

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