Q:
# Which Shape Has Four Vertices and Four Faces?

**A tetrahedron is a three-dimensional shape that contains four vertices, four faces and six edges.** This Platonic solid is classified as a polyhedron, specifically a regular convex polyhedron. This indicates that all the four faces of a tetrahedron are equal in shape and size, with the same number of surfaces joined at each vertex.

The Swiss mathematician Leonhard Euler devised a formula to illustrate the correlation between the numbers of faces, edges and vertices of most three-dimensional figures. The formula is given as X = V - E + F, where "V" denotes vertices, "E" indicates edges, "F" represents faces and "X" is the Euler characteristic. By plugging in the correct values in the case of a polyhedron, the relationship can be expressed as X = 4 - 6 + 4. The Euler characteristic is always equal to 2.

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Q:
## How Many Edges Does a Polyhedron Have?

A: The number of edges of any polyhedron can be calculated using the formula: E = V + F - 2, where "E'" denotes the number of edges, "V" indicates the number ... Full Answer >Filed Under: -
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## How Many Faces, Edges and Vertices Does a Sphere Have?

A: A sphere has no faces, edges or vertices. By definition, it is a curved three-dimensional geometric figure whose surface is defined as the set of all the p... Full Answer >Filed Under: -
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## How Many Vertices Does a Hexagonal Prism Have?

A: A hexagonal prism has 12 vertices, along with eight faces and 18 edges. This shape has two hexagonal sides, as well as size rectangular sides that connect ... Full Answer >Filed Under: -
Q:
## What Figure Has Five Faces, Eight Edges and Five Vertices?

A: A square pyramid, a pyramid with four triangular sides and one square side, is a figure with five faces, eight edges and five vertices. It is a kind of thr... Full Answer >Filed Under: