The two main formulas of a regular triangular pyramid are: Volume of a Regular Triangular Pyramid = a 3/6√2 and Total Surface Area of a Regular Triangular Pyramid = √3a 2 Now consider a regular triangular pyramid made of equilateral triangles of side 'a'.The total surface area of a triangular pyramid is calculated with the formula, Total Surface area of a Triangular Pyramid = Base Area + 1/2 (Perimeter of the base × Slant Height) where 'slant height' is the distance from its triangular face along the center of the face to the apex.The volume of a triangular pyramid is calculated with the formula, Volume of Triangular Pyramid = 1/3 × Base Area × Height where we multiply the area of the triangular base by the height of the pyramid (measured from base to top) and then divide that product by 3 as shown in the formula.Observe the following figure to relate to the formulas given below: There are various formulas that are used to calculate the volume and surface area of triangular pyramids. Triangular pyramids can be regular, irregular, and right-angled.A regular triangular pyramid has equilateral triangles for all its faces.A triangular pyramid has no parallel faces.A triangular pyramid has 4 triangular faces, 6 edges, and 4 vertices.The different properties of a triangular pyramid are: ![]() The properties of a triangular pyramid help us to identify a pyramid from a given set of figures quickly and easily. It has 1 right-angled base, 6 edges, 3 triangular faces, and 4 vertices. ![]() Unless a triangular pyramid is specifically mentioned as irregular, all triangular pyramids are assumed to be regular triangular pyramids.Ī right triangular pyramid (a three-dimensional figure) has the base as a right-angled triangle and the apex is aligned above the center of the base. The internal angles in each plane add up to 180° as they are triangular. Since it is made of equilateral triangles, all its internal angles measure 60°.Īn irregular triangular pyramid also has triangular faces, but they are not equilateral. Regular Triangular PyramidĪ regular triangular pyramid has equilateral triangles as its faces. The different types of triangular pyramids are explained below. Like any other geometrical figure, triangular pyramids can also be classified into regular and irregular pyramids. The folded paper forms a triangular pyramid. Cut it along the edge and fold it as shown in the picture below. You can observe two different nets of a triangular pyramid shown below. ![]() Let us do a small activity to learn more about the net of a triangular pyramid. The triangular pyramid net consists of four triangles. A triangular pyramid net is a pattern that forms when its surface is laid flat, showing each triangular face in the two-dimensional (2D) form. Nets are useful to find the surface area of solids. The net pattern is different for different types of solids. If it is a right triangular pyramid, the base is a right-angled triangle while the other faces are isosceles triangles. It is a pyramid with a triangular base connected by four triangular faces where 3 faces meet at one vertex. A triangular pyramid is a 3D shape in which all the faces are triangles.
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