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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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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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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 hexagonal prism always has 18 edges. There are six edges around the top and bottom hexagon faces, equaling 12 edges, and another six where the faces are connected on the sides, for a total of 18 edges.

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A pentagonal pyramid is characterized by six faces, six vertices and 10 edges. This three-dimensional polyhedron is a type of pyramid containing five triangular lateral faces and one pentagonal face, which is the base of the pyramid.