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Pentagonal Prism: Definition & Properties

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  • 0:03 Prisms
  • 0:44 Types
  • 1:20 Properties
  • 2:12 Lesson Summary
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Lesson Transcript
Instructor: Joseph Vigil
In this lesson, you'll find out what qualities make up a prism and what a pentagonal prism is. You'll also learn the basic properties found in all pentagonal prisms.

Prisms

Prisms are a certain kind of shape, but what makes them stand out? A prism consists of two two-dimensional shapes joined together to form an enclosed three-dimensional shape. For example, a drum is a prism because it has two circles joined together to make the enclosed three-dimensional shape we see here:

Snare Drum

In fact, the two-dimensional shape (in this case, a circle) makes the top and bottom, or faces, of a prism.

Cans of food, soda cans, and trash cans are all prisms because they're three-dimensional shapes with circular faces. Likewise, boxes are prisms because they're three-dimensional shapes with square or rectangular faces.

Types

Since there are many different shapes that can serve as faces, there are many types of prisms we can make. In fact, prisms are named for the shape of their faces. So a pentagonal prism is simply a prism that has pentagons as its faces. Similar to the drum or box, it's an enclosed three-dimensional shape based on two pentagons.


Pentagonal Prism


It's very similar to the snare drum, except its bottom and top are pentagons rather than circles.

This image is also a pentagonal prism:


Pentagonal Prism


Even though the sides are slanted, it's still a three-dimensional shape based on two pentagons.

Properties

Since all pentagonal prisms have the same basic qualities, they all share certain properties:

1. First, all pentagonal prisms have seven sides.


Seven Sides of a Pentagonal Prism


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