Q:

# How many edges does a cuboid have?

A:

A cuboid has 12 edges. A cuboid is a box-like shaped polyhedron that has six rectangular plane faces. A cuboid also has six faces and eight vertices.

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Credit: Ruth Hartnup CC-BY-2.0

Knowing these latter two facts about a cuboid, the number of edges can be calculated with Euler’s polyhedral formula. This formula states that the number of faces (F) plus the number of vertices (V) minus the number of edges (E) equals 2, or F + V - E = 2.

By substituting 6 for V and 8 for V in this equation, it becomes 6 + 8 - E = 2, or 14 - E = 2. From this equation, it is simple to see that E equals 12.

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## Related Questions

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A cuboid is a shape that looks similar to a box and has six flat sides. Cuboids also have only right angles, and all of the faces are rectangles.

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A vertex is a corner on a polygon, polytope or polyhedron, and when faces, facets or edges of an object come together, a vertex forms; however, because a sphere features no meeting points, it has no vertices. Even though a sphere does have one continuous surface, its lack of meeting points with any other surface means that it technically has no faces. Spheres have no lines, so they also have no edges.

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A Cheops or square pyramid has eight edges. This type of pyramid also has five faces, including the base, as well as five corners, known as vertices. This is the type of design used in the construction of the Great Pyramids in Egypt.