What Is An 8 Sided 3D Shape Called?
Geometry can be a complex subject, but it doesn't have to be. Many people have heard of shapes like squares, triangles, and circles, but what about an 8 sided 3D shape? Let's explore what this shape is called and how it works.
Defining the 8 Sided 3D Shape
First, let's define what an 8 sided 3D shape is. This shape is also known as an octagonal prism. It consists of two parallel octagonal bases and eight rectangular faces that connect the bases. The rectangular faces are perpendicular to the bases, and the edges of the rectangular faces are equal in length.
Understanding the Shape's Name
The name "octagonal prism" comes from the shape's eight sides and its three-dimensional properties. "Prism" is used to describe the shape because it has two identical bases that are parallel to each other, and the rectangular faces are perpendicular to the bases. "Octagonal" refers to the shape's eight sides, which are formed by the eight rectangular faces.
Properties of an Octagonal Prism
Octagonal prisms have several unique properties that make them interesting to study. They have a total of ten faces, including the two octagonal bases and eight rectangular faces. The shape's volume can be calculated by multiplying the area of the base by the height of the prism. The formula for calculating the volume of an octagonal prism is:
Additionally, the surface area of an octagonal prism can be calculated by adding the areas of all ten faces together. The formula for calculating the surface area of an octagonal prism is:
Examples of Octagonal Prisms in Real Life
Octagonal prisms are not just theoretical shapes - they can be found in real life as well. One example of an octagonal prism is a stop sign. The shape of a stop sign is an octagon, but the sign itself is three-dimensional, forming an octagonal prism. Another example of an octagonal prism is a pencil, which is typically hexagonal in shape but can also be found in an octagonal prism shape.
Uses of Octagonal Prisms
Octagonal prisms have several practical uses as well. One use is in architecture, where they can be used as a design element in buildings. They can also be used in manufacturing, such as in the production of pipes or containers. Additionally, they can be used in optical devices, such as binoculars or telescopes.
Conclusion
Now that we've explored what an 8 sided 3D shape is called and its properties, we can see that it's not as complicated as it may seem. Octagonal prisms are fascinating shapes that have practical uses in various industries. Understanding the properties and applications of this shape can help us appreciate the role it plays in our lives.
So, the next time you see a stop sign or use a pair of binoculars, remember the octagonal prism that makes it all possible.
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