Triangular Prism Nets (Examples & Formulas)
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Building space has often been taught when you were still in school. Of the many types of spatial shapes that exist, some of which we often encounter are beams, tubes, and prisms. In this case, we will discuss about triangular prism nets.
Basically, these triangular prism nets are 3-dimensional shapes consisting of a base, cover, and blanket. There are already a lot of people who don't really remember this. So, here we will help you to remember it again.
List of contents
Definition of Prism
According to what is written in the book Summary of Elementary Mathematics: Complete and Practical Guide, by Koeshartati Saptorini, prism can be interpreted as a form of spatial structure that has several types in it in it.
Several types of this space can later be distinguished from each side it has. For the types themselves are triangular prisms, rectangular prisms, square prisms, pentagonal prisms. Most likely you must already know each form of the wake up space.
Like other shapes, prismatic shapes will also have a volume or content that has a certain size. To build the prism space itself, it is a 3-dimensional shape that is limited to 2 sides of a polygon that is parallel and congruent.
Meanwhile, a triangular prism is a 3-dimensional shape consisting of a base triangular, rectangular blankets, while the cover will be in the shape of a triangle.
Similar to other types of prisms that have their own properties in them, triangular prisms will also have several different properties from other types. For this reason, it is certain that a triangular prism is different from other types of prisms.
Read: Geometry
Prism Properties
Basically, every type of spatial structure that exists in this world will have its own characteristics. So, it is not surprising that the prism space itself will also have certain properties, which can make it different from other types of geometric shapes.
To help you find out what properties the prism space will have, here are some of its properties, namely:
1. Every Side He Has
The main characteristics or characters of the prism space that will be seen clearly, can be seen from the sides. Basically, a prism space will have rectangular sides.
This will also apply to a triangular prism. So, you can be sure that whatever type of prism you are looking at, it is clear that the sides will be rectangular.
2. The Ribs He Owns
Not only does it have its own uniqueness on the sides, but the prism space also has a different character on the ribs. In a prism, the edges will be upright.
However, this does not rule out the possibility that there are several types of prisms that actually use non-vertical ribs. As for the triangular prism itself, we will use upright ribs.
3. Every Diagonal Of The Plane It Has
The last property of the prism space is that the diagonals on each side will be the same size, so this will further enhance the shape of the prism itself.
Because this is the main characteristic of the prism space, so of course even a triangular prism will also have the same diagonal of the side plane with the same size. In addition, the shape of the base and roof of the triangular prism will also remain congruent.
Read: Build a Flat Side Room
Triangular Prism Nets
Triangular prism nets have also often been discussed when we were still in school. However, it is possible that there will be many people who have simply forgotten about the details of this type of spatial network.
For that, here we will share good and correct triangular prism nets, so you can remember them again, and the nets are:
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Prism Formula
Discussing about mathematics, of course it is a natural thing if we will also discuss the related formulas in it. Building a prism space will have its own formula, so you must know it well and correctly.
For those of you who want to calculate the surface area of a triangular prism, you can use the formula below:
Surface area of prism (LP) = area of base + area of cover + area of upright sides
Meanwhile, basically the base and lid of the prism will be the same size. Not only that, the shapes will also have similarities with each other. Therefore, it is not surprising that these two parts will have the same area as well. So, another formula that can be used is:
Surface area of prism (LP) = 2 x area of base + area of vertical sides
In addition, when looking at the vertical sides of a rectangular prism cover, generally the long part of this shape will be the circumference of the prism base. Meanwhile, the width will be the height of the prism. In this case, the exact formula for calculating it is:
Surface area of prism (LP) = (2 x Lalas) + (Case x t)
If what is meant by Lalas is the area of the base of the prism, for the purpose of the word Kalas is the circumference of the base of the prism of the shape of the space.
Read: Build Curved Side Space
Problems example
Continuing the discussion about triangular prism nets and the formulas in them, here we will also present some examples of questions and their discussions, which include:
1. Problem 1
Determine the surface area of a prism whose dimensions are:
- s = 15 cm
- s = 18 cm
- t = 25 cm
Answer:
Surface area of prism = 18 x (15 + (3 x 25))
Surface area of prism = 18 x (15 + 75)
Surface area of prism = 18 x 90
Surface area of prism = 1620 cm2
So, the surface area of the prism is 1620 cm2
2. Problem 2
There is a tent that has a shape similar to a triangular prism. The tent has a height of 150 cm and a triangular base measuring 200 cm. In addition, the triangular height of the tent is 130 cm.
In this case, calculate the volume of the prism of the tent!
Answer:
Volume = x a.s x t.s x t
Volume = x 200 x 130 x 150
Volume = 1.950.000 cm3
So, the volume size of the triangular prism-shaped tent is 1.950.000 cm3
3. Problem 3
There is a prism with a height of 10 cm and the lengths of each side of the rectangle are 4 cm and 3 cm. Then, what is the volume of the triangular prism?
Answer:
Volume = (1/2 x a x h) x height of prism
Volume = (1/2 x 4 x 3) x 10
Volume = 6 x 10
Volume = 60 cm3
So, the volume of the triangular prism is 60 cm3
By understanding the explanation above, you can get to know more about triangular prism nets and their formulas. That way, you can work on questions related to this more easily.
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