Triangular Prism
A prism is a solid figure with flat faces, two identical bases, and an equal crosssection all along its length. The name of a particular prism depends on the two bases of the prism which can be triangles, rectangles, or any polygon. For example, a prism with triangular bases is called a triangular prism and a prism with a square base is called a square prism, and so on. A triangular prism has two triangular bases and three rectangular faces. Let us learn more about the triangular prism in this article.
1.  What is a Triangular Prism? 
2.  Triangular Prism Properties 
3.  Triangular Prism Net 
4.  FAQs on Triangular Prism 
What is a Triangular Prism?
A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism, respectively.
Triangular Prism Meaning
A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following figure to see a triangular prism in which L represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.
Triangular Prism Properties
The properties of a triangular prism help us to identify it easily. Listed below are a few properties of a triangular prism:
 A triangular prism has 5 faces, 9 edges, and 6 vertices.
 It is a polyhedron with 3 rectangular faces and 2 triangular faces.
 The two triangular bases are congruent to each other.
 Any crosssection of a triangular prism is in the shape of a triangle.
Triangular Prism Net
The net of a triangular prism is a pattern that is seen when the surface of the prism is opened, flattened, and laid out such that all the faces are seen clearly. This net can be folded up to make a triangular prism. It shows that the bases of the prism are shaped in a triangle and the lateral faces are shaped like a rectangle. The figure given below shows the net of a triangular prism where the triangles and the rectangles are seen clearly.
Surface Area of a Triangular Prism
The surface area of a triangular prism is the area that is occupied by its surface. It is the sum of the areas of all the faces of the prism. Hence, the formula to calculate the surface area is:
Surface area = (Perimeter of the base × Length) + (2 × Base Area) = (S_{1} +S_{2} + S_{3})L + bh
where,
 b is the bottom edge of the base triangle,
 h is the height of the base triangle,
 L is the length of the prism and
 S_{1}, S_{2, }and S_{3} are the three edges (sides) of the base triangle
 (bh) is the combined area of the two triangular faces, because [2 × (1/2 × bh)] = bh
For more information on the surface area formula and calculations, check the article on the surface area of a triangular prism.
Volume of a Triangular Prism
The volume of a triangular prism is the product of its triangular base area and the length of the prism. As we already know that the triangular prism base is in the shape of a triangle, the area of the base will be the same as that of a triangle. Hence, the Volume of a Triangular Prism = area of base triangle × length or it can also be written as Volume of Triangular Prism = ½ × b × h × l, where b is the base length of the triangle, h is the height of the triangle, and l is the length of the prism.
Right Triangular Prism
A right triangular prism is a prism in which the triangular faces are perpendicular to the three rectangular faces. In other words, both the triangles of a right triangular prism are rightangled, therefore, the triangular faces are perpendicular to the lateral rectangular faces. A right triangular prism has 6 vertices, 9 edges, and 5 faces.
Related Topics
Listed below are a few interesting topics that are related to the triangular prism.
Triangular Prism Examples

Example 1: Find the volume of a triangular prism that has the following dimensions: base length of the triangle= 5 inches, height of the triangle = 3 inches, and length of the prism = 8 inches.
Solution: Given, base length 'b' = 5 inches, the height 'h' = 3 inches, and length between the triangular bases 'l' = 8 inches.
Volume of a Triangular Prism = ½ × b × h × l
Volume = ½ × 5 × 3 × 8
Volume = 60 in^{3}
Therefore, the volume of the triangular prism is 60 inches^{3}.

Example 2: What is the surface area of the triangular prism if its base area is 12 square units, length is 15 units, and the perimeter of the base is 21 units?
Solution:
Given, base area = 12 square units, length = 15 units, and perimeter of the base = 21 units. Therefore, the surface area of the triangular prism can be calculated by applying the formula:
Surface area = (Perimeter of the base × Length) + (2 × Base Area)
Surface area = (21 × 15) + (2 × 12)
Surface area = (315) + (24)
Surface area = 339 square units^{2}
Therefore, the surface area of the given triangular prism is 339 units^{2}
FAQs on Triangular Prism
What is a Triangular Prism?
A triangular prism is a threedimensional polyhedron, made up of two triangular faces and three rectangular faces. It has 5 faces, 9 edges, and 6 vertices. The 2 bases are in the shape of a triangle and the other 3 faces are shaped like a rectangle. Some reallife examples of a triangular prism are camping tents, chocolate candy bars, rooftops, etc.
What is the Volume of a Triangular Prism?
The volume of a triangular prism is the threedimensional space enclosed by it. It is the product of its triangular base area and its length. The formula to find the volume is, Volume of a Triangular Prism = area of base triangle × length, or it can also be written as, Volume of a Triangular Prism = ½ × b × h × l, where b is the base length of the triangle, h is the height of the triangle, and l is the length between the triangular bases. The volume of a triangular prism is expressed in cubic units such as in^{3}.
What is the Surface Area of a Triangular Prism?
The surface area of a triangular prism is the total area that is occupied by its surface. The formula to find the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length) + (2 × Base Area).
How Many Vertices and Edges does a Triangular Prism have?
A triangular prism consists of 6 vertices and 9 edges. The edges are also known as the sides and the vertices are known as the corners of the prism. It has 5 faces in which 2 are triangular faces and 3 are rectangular faces.
What is a Right Triangular Prism?
A right triangular prism is a prism in which the triangular faces are perpendicular to the three rectangular faces. In other words, both the triangles of a right triangular prism are rightangled, therefore, the triangular faces are perpendicular to the lateral rectangular faces. A right triangular prism has 6 vertices, 9 edges, and 5 faces.
How many Faces does a Triangular Prism have?
A triangular prism has 5 faces in which 3 are rectangular faces and 2 are triangular faces.
How many Sides does a Triangular Prism have?
A triangular prism has 9 sides in all. These sides are also called the edges of the prism.
What is the Difference between a Triangular Prism and a Rectangular Prism?
The main difference between a triangular prism and a rectangular prism is that the bases of a triangular prism are triangles, while the bases of a rectangular prism are rectangles. Apart from this, a rectangular prism has 6 faces and 12 edges, while a triangular prism has 5 faces and 9 edges.
Is a Pyramid a Triangular Prism?
No, a pyramid is not a triangular prism. A triangular pyramid is a solid shape with 4 triangular faces with a central vertex point. Whereas a triangular prism is a polyhedron with 2 congruent triangular bases and the remaining are rectangular faces. A triangular prism is a 3D polyhedron with triangleshaped bases and rectangleshaped faces. Hence, a pyramid is not a triangular prism.
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