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In Mathematics / Middle School | 2014-03-31

What is the difference between a pentagonal prism and a pentagonal pyramid?

Asked by emmaoss

Answer (3)

A pentagon is a 5 sided figure. pentagonal prism is a 3D structure where the top and the bottom face is a pentagon and the side faces are 4 sided figures (it may be a square or a rectangle) whereas pentagonal pyramid is a structure where only the bottom face is a pentagon and the top face is reduced to a point and so the side faces are 3 sided figures.

Answered by Andradestacey | 2024-06-10

The key difference between a pentagonal prism and a pentagonal pyramid lies in the number and arrangement of bases—prisms have two parallel bases, while pyramids have one base and an apex.

A pentagonal prism has two parallel pentagonal bases and rectangular faces, while a pentagonal pyramid has one pentagonal base and triangular faces that converge at a single point (the apex).
A pentagonal prism and a pentagonal pyramid are both three-dimensional shapes, but they have different characteristics.
A pentagonal prism has two parallel, congruent pentagonal bases connected by rectangular faces. In total, it has 7 faces, 15 edges, and 10 vertices.
A pentagonal pyramid has a single pentagonal base and triangular faces that meet at a common point (the apex). It has 6 faces, 10 edges, and 6 vertices.
The prism is characterized by its two pentagonal bases and is a type of polyhedron known as a prism.
The pyramid has one pentagonal base with other faces composed of triangles converging at the apex.

Complete question : What is the difference between a pentagonal prism and a pentagonal pyramid?

Answered by DaveGahan | 2024-06-24

A pentagonal prism has two pentagonal bases with rectangular sides, totaling 7 faces, while a pentagonal pyramid has one pentagonal base and 5 triangular faces that meet at a point, totaling 6 faces.
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Answered by Andradestacey | 2024-10-14