Video transcript- [Teacher] I have five three-dimensional shapes over here. I also have five names for them. What I want you to do is pause this video and think about which of these shapes is a square pyramid. Which of these is a rectangular prism? Which one is a triangular prism? Which one is a sphere and which one is a cylinder? Let's just work through this together. Really, this is just something to know, because some people in various subjects will sometimes throw out these words. First, let's think about which one is the square pyramid. This shape here on the right clearly looks like a pyramid, and the thing that makes it a square pyramid is the idea that its base is a square. Let me see if I can shade this in. So the base of this right over here is a square. That's where the square pyramid comes from. If it's a triangular pyramid, then the base would only have three sides, but this is a square pyramid. So let me... Move this over there. So that is a square pyramid. Alright, let's do the next one. Which one is a rectangular prism? A prism you can view as a three-dimensional object, and since it's saying a rectangular prism, well, the best one here that is rectangular, notice, this shape right here is rectangular on every side, and it's three dimensions. It is a prism, and so this is the rectangular prism. So let's move that over. So that is our rectangular prism. Now, triangular prism. So this one is interesting. If you look at this shape right over here, it has sides that are triangles. You see this up here is a triangle and you see this down here is a triangle, although they're connected by these rectangular sides. This is actually what's called a triangular prism. In a square pyramid, the faces which are triangles all meet at a point. In a triangular prism, you have two opposite-facing sides that are triangles. You'll see all of these in different orientations. Sometimes it'll be resting like this, sometimes it'll be on it's side, but this is a triangular prism. Let me... So that is a triangular prism. And so we have two left. You might be able to figure these out. Which one is a sphere? When I think sphere, I think of a globe. This choice right over here is clearly a sphere. Let me move that over. Let me move it over, okay, so that one is a sphere. Then last but not least, this thing that looks like a can is a cylinder. So let me move that over. So that is a cylinder. And we're all done. So these are just useful names to know for shapes. Cylinder is... You have these two faces that are circular and then they are opposite each other. It's kind of like a triangular prism, but instead of having these hard edges because you have a triangle, you have a base that is a circle and a top that is a circle. Show
A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges. If the sides are rectangular, then it is called the right triangular prism else it is said to be an oblique triangular prism. If the bases are equilateral and sides are squares, then it is called a uniform or regular triangular prism. Like other Prisms, the two bases here are parallel and congruent to each other. In total, it has 5 faces, 6 vertices and 9 edges. What is a Triangular Prism?Triangular Prism is a pentahedron and has nine distinct nets. The edges and vertices of the bases are joined with each other via three rectangular sides. The sides of the triangular prism, which are rectangular in shape are joint with each other side by side. All cross-sections parallel to the base faces are the same as a triangle. A triangular pyramid has four triangular bases unlike the triangular prism, joined with each other and all are congruent to each other.  The sides and bases of the triangular prism are congruent or else oblique. The edges of the prism join the corresponding sides. The two bases of this prism are equilateral triangles and the edges of these triangles are parallel to each other. See the below figure to understand the structure. Other Types of Prisms
Properties of Triangular PrismLet us discuss some of the properties of the triangular prism.
A right triangular prism has its three rectangular sides congruent. Also, the two triangular bases are parallel and congruent to each other. The rectangular or lateral faces are
perpendicular to the triangular bases. Volume of Triangular PrismThe volume of a triangular prism is equal to the product of the triangular base area and the height of the prism. The formula to find the volume of triangular prism is given by: Volume = Area of the Base × Height of prism Since, the base is in triangular shape, therefore, Area = ½ b h Hence, Volume of Triangular Prism = ½ × b × h × l Where b is the base length, h is the height of the triangle and l is the length between the triangular bases. Surface Area of Triangular PrismSurface area of triangular prism is equal to the sum of the lateral surface area and twice the base area of the triangular prism. It is measured in square units. The formula of surface area of triangular prism is given by: Surface area of triangular prism = 2A + PH Where,
Now, Area of the triangular base= ½ × b × h If a, b and c are the sides of the triangular bases, then, Perimeter of the base = a + b + c Therefore, Surface area of triangular prism = 2 (½ × b × h) + (a + b + c)H Surface Area of the Triangular Prism = (bh + (a + b + c)H) Where b and h is the base and height of the bases, respectively and H is the height of the prism. Triangular Prism NetIf we open each face of the triangular prism, we will get the net. The net of this prism comprises three rectangles and two triangles. In the below figure you can see the nine distinct nets. Facts to Remember
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Solved Examples on Triangular PrismExample 1: Find the volume of the triangular prism with base is 5 cm, height is 10 cm, and length is 15 cm. Solution: Volume of Triangular Prism = ½ × b × h × l V = ½ × 5 × 10 × 15 Volume, V = 375 cm3 Example 2: If the height of the prism is 4cm and the length of the side of the equilateral triangular base is 6cm. Then find the area of the prism for the above example. Solutions: We have, Base = 5cm, height of the base= 10cm, length of the base=15cm, Height of the prism = 4cm As the base is an equilateral triangle, therefore all its sides will be equal. Hence, a = b = c = 6cm. By the formula, Area of the Triangular Prism = (bh + ( a + b + c)H) Area = (5 × 10 + (6 + 6 + 6)4) =(50 + (18)4) = 50 + 72 = 122 cm2 Download BYJU’S App and subscribe with us to get personalised videos and have fun learning. Frequently Asked Questions on Triangular PrismA triangular prism is polyhedron and a three-dimensional shape that has 5 faces, 6 edges and
9 vertices. Its bases are triangular and sides are rectangular. A triangular prism has 5 faces (3 rectangular and 2 triangular), 9 vertices and 6 edges. The formula to find volume of triangular prism is the product of area of triangular base and height of prism. Surface area of triangular prism is the total area covered by its surface in three dimensional plane. The formula is given by: A triangular prism has its bases in triangle shape and a rectangular prism has its bases in rectangle shape. What 3D object has 3 squares and 2 triangles?In geometry a pentahedron is a polyhedron of five faces. With regular polygon faces, there are two types: With a regular pyramid shape, there is a classical square pyramid. With a triangular prism there are two triangles and three squares.
What 3A triangular prism has 2 triangular faces and 3 rectangular faces.
What is a 3D rectangle triangle called?Square Pyramid (3D triangle with a square base) Cuboid (3D Rectangle) Cylinder (3D shape with a circular base) Triangular Prism (3D shape with identical triangle bases) Cone (3D triangle with a circular base)
Which shape has only 3 rectangular sides?A triangular prism is a 3-dimensional shape with three rectangular sides, and two ends that are triangles. A triangular prism has a triangular cross-section all the way along its length.
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What solid can be formed with three rectangles and two triangles?
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