Solution: Given, base length 'b' = 5 inches, the height 'h' = 3 inches, and length between the triangular bases 'l' = 8 inches.

For more information on the surface area formula and calculations, check the article on the surface area of a triangular prism.

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A triangular prism is a three-dimensional 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 real-life examples of a triangular prism are camping tents, chocolate candy bars, rooftops, etc.

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?

Prismmeaning in Hindi

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 (Perimeter of the base × Length) + (2 × Base Area) square units.

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Example 3: If the volume of a triangular prism, having a length of 7 units and the height of the base triangle 4 units, is 35 units, find the length of the base of the triangle.

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Triangularprism defined

A right triangular prism is a prism in which the angle formed between the edges of triangular bases and edges of the rectangular faces is 90 degrees. Other properties of triangular prism remain the same.

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 image of 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.

Prism definedsynonym

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.

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. It is two-dimensional. 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.

A prism is a solid figure with flat faces, two identical bases, and with the same cross-section 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 lateral faces. Let us learn more about the triangular prism in this article.

Prismshape

A right triangular prism is a prism in which the triangular faces are perpendicular to the three rectangular faces. In other words, the angle formed at the intersection of triangle and rectangle faces should be 90 degrees, therefore, the triangular faces are perpendicular to the lateral rectangular faces. A right triangular prism has 6 vertices, 9 edges, and 5 faces.

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Example 1: Find the volume of a triangular prism that has the following dimensions: base length of the triangle = 5 inches, the height of the triangle = 3 inches, and length of the prism = 8 inches.

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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:

The volume of a triangular prism is the three-dimensional 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 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 in3.

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:

Types ofprism

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 triangle-shaped bases and rectangle-shaped lateral faces. Hence, a pyramid is not a triangular prism.

There are two important formulae of a triangular prism which are surface area and volume. A brief explanation of both is given below along with the formula.

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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 of which 2 are triangular faces and 3 are rectangular faces.

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Prism definedin math

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.

What isprismin Physics

A triangular prism has 5 faces of which 3 are lateral rectangular faces and 2 are triangular faces which form the top and the bottom bases of the prism.

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Prism definedexample

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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.

Given, the length of the prism (l) = 7 units, the height of the base (h) = 4 units, and volume = 35 units. By substituting these values in the volume of triangular prism formula, we get,

As mentioned above, a triangular prism has 5 faces including 3 lateral rectangular faces and 2 triangular bases, 9 edges, and 6 vertices. The vertices of the triangular prism are the vertices of the two triangular bases connected by lines that form rectangles. Its edges include 6 edges of two triangular bases (3 + 3) and 3 sides that join the bases.

The properties of a triangular prism help us to identify it easily. Listed below are a few properties of a triangular prism: