How Many Edges Does A Pentagonal Prism Have

There are 15 edges present in a pentagonal prism.

The Pentagonal prism is one type of a geometrical model. This type of a prism will have one pentagonal base each at top and bottom. The sides of this prism comprise of five rectangles adjoining together to form a closed structure. As the total number of faces is seven (one top-facing, one bottom-facing, and five side-facing rectangles), it is also called a heptahedron.

A heptahedron of this kind will have 10 vertices and 15 edges (straight lines) to join the vertices. Therefore, the number of straight edges or straight lines which join the corners or vertices of a prism is 15. This kind of prism is also referred to as a polygon prism with five sides. A prism can be easily understood by representing a three-dimensional box, with a solid figure of a uniform cross-section having two common bases. This figure's net geometrical shapes comprise of one pentagon and five rectangles.

Types Of The Pentagonal Prism

Pentagonal prisms are of two types

1. Regular pentagonal prism

2. Right pentagonal prism

Regular Pentagonal Prism

This is the type of pentagonal prism with their sides having equal lengths. This prism can also be termed as a uniform prism or a semiregular polyhedron. Here all the rectangular faces present will be of precisely the same shape and size, by which means it is also known as to be congruent. The rectangular faces are at times called lateral when the faces of the prism are bases. The rectangular lateral side faces are known as lateral edges. When two uniform prisms or semi-regular polyhedrons are kept together, they can form a structure called a pentagonal bipyramid. The angles between the sides of the bases will measure to be about 108°.

Rectangular Pentagonal Prism

In this type of prism, the pentagonal prism appears to be a right-angled one with two congruent (equal in size and shape) and parallel faces. The five rectangular faces will remain perpendicular to the triangles.

Example

The pentagon Building in Washington represents an example of the shape of a pentagonal prism.

Conclusion

Thus, we have learnt that a pentagonal prism have 15 edges. 5-5 edges on top and bottom pentagonal faces each and 5 vertical edges connecting the two pentagonal bases.