Heptagonal Prism Faces Edges Vertices: Explained In 2023
Are you struggling with understanding the concept of heptagonal prism faces edges vertices? If yes, you have landed on the right page. In this article, we will discuss all the essential information regarding heptagonal prism faces edges vertices, and you will leave this page with a better understanding of this concept.
What is Heptagonal Prism?
A heptagonal prism is a three-dimensional solid shape that consists of two congruent heptagons at the top and bottom connected by seven rectangular faces. In simple words, a heptagonal prism has two heptagonal bases and seven rectangular faces.
Heptagonal Prism Faces
As mentioned earlier, a heptagonal prism has two heptagonal bases and seven rectangular faces. Thus, a heptagonal prism has nine faces in total.
The two heptagonal bases are congruent, which means they have the same size and shape. These two bases are parallel to each other and have seven rectangular faces connecting them. The rectangular faces are perpendicular to the bases and have equal size and shape.
Heptagonal Prism Edges
Edges are the straight lines that form the boundary of a three-dimensional shape. A heptagonal prism has 21 edges in total.
The two heptagonal bases have seven edges each, and the seven rectangular faces have two edges each, making a total of 14 edges.
Therefore, the total number of edges in a heptagonal prism is 21.
Heptagonal Prism Vertices
Vertices are the points where the edges of a three-dimensional shape meet. A heptagonal prism has 14 vertices in total.
The two heptagonal bases have seven vertices each, and the seven rectangular faces have two vertices each, making a total of 14 vertices.
Therefore, the total number of vertices in a heptagonal prism is 14.
Formulas for Heptagonal Prism Faces Edges Vertices
If you need to calculate the number of heptagonal prism faces edges vertices, here are the formulas:
- Number of faces = 2 + number of rectangular faces = 2 + 7 = 9
- Number of edges = 3 x number of edges of each base + number of edges of rectangular faces = 3 x 7 + 14 = 21
- Number of vertices = 2 x number of vertices of each base + number of vertices of rectangular faces = 2 x 7 + 14 = 28
Real-life Examples of Heptagonal Prism
Heptagonal prisms can be found in various real-life objects, such as buildings, sculptures, and sports equipment. Here are some examples:
- The roof of the Olympic Stadium in Tokyo, Japan, has a heptagonal prism shape.
- The sculpture "Seven Elements" by artist David Black is a heptagonal prism.
- A standard pencil sharpener has a heptagonal prism shape.
Conclusion
Heptagonal prism faces edges vertices can be confusing at first, but with a little explanation and practice, you can easily understand and calculate them. Remember, a heptagonal prism has two heptagonal bases, seven rectangular faces, 21 edges, and 14 vertices.
Hopefully, this article has provided you with a better understanding of heptagonal prism faces edges vertices. If you have any more questions, feel free to ask in the comments below.
Happy learning!
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