![]() We will look at the following common 3D shapes: This means that all real objects are actually made from 3D shapes. If you can hold or pick up an object, then it is 3D. ![]() ![]() A three-dimensional shape has depth as well as length and width. All the edges of a regular tetrahedron are also equal in length.In this lesson we are learning the names of 3D shapes and looking at examples of some common everyday objects that have these shapes.ģD means three-dimensional. In a regular tetrahedron, all the faces are equilateral triangles. The volume of a tetrahedron is expressed in terms of cubic units. The volume of a tetrahedron can be calculated using the formula, Volume of tetrahedron = (1/6√2) a 3, where 'a' is the side length of the tetrahedron. What is the Base of a Tetrahedron Shape?Ī tetrahedron is a figure with 4 triangular faces, therefore, the base of a tetrahedron is also a triangle. Thus, a square-based pyramid is not a tetrahedron. A square-based pyramid has a square base and all its other faces are triangles, whereas, a tetrahedron has a triangular base and all its faces are equilateral triangles. No, a square-based pyramid is not a tetrahedron. Since a tetrahedron has a triangular base and all its faces are triangles, it is known as a triangular pyramid. Yes, a tetrahedron is a type of pyramid because a pyramid is a polyhedron for which the base is always a polygon and the other lateral faces are triangles. A regular tetrahedron has all its faces as equilateral triangles.Unlike other platonic solids, it has no parallel faces.All four vertices are equally distant from each other in a regular tetrahedron.It has 4 faces, 6 edges, and 4 corners.What are the Properties of a Tetrahedron? A tetrahedron is different from a square pyramid, which has a square base. It is also referred to as a ' Triangular Pyramid' because the base of a tetrahedron is a triangle. A tetrahedron has 4 faces, 6 edges, and 4 corners.įAQs on Tetrahedron What is a Tetrahedron?Ī tetrahedron is a platonic solid which has 4 triangular faces, 6 edges, and 4 corners.A tetrahedron is a triangular pyramid with all 4 faces as triangles.The 5 platonic solids can be listed as tetrahedron, cube, octahedron, icosahedron, and dodecahedron.The sum of the face angles for 3 faces of a tetrahedron, that meet at any vertex is 180°. Therefore, all the interior angles of a tetrahedron are 60° each. The volume of a tetrahedron is expressed in cubic units. Where 'a' is the side length of the regular tetrahedron. The formula to calculate the tetrahedron volume is given as, The volume of a tetrahedron is defined as the total space occupied by it in a three-dimensional plane. TSA of Regular Tetrahedron = Sum of 4 congruent equilateral triangles, i.e., all its faces The formula to calculate the total surface area of a regular tetrahedron is given as, The total surface area of a tetrahedron is defined as the surface area of all the faces of a tetrahedron. Where 'a' is the side length of a regular tetrahedron. LSA of Regular Tetrahedron = Sum of 3 congruent equilateral triangles, i.e., lateral faces The formula to calculate the lateral surface area of a regular tetrahedron is given as, The lateral surface area of a tetrahedron is defined as the surface area of the lateral or the slant faces of a tetrahedron. A tetrahedron can have two types of surface areas: It is expressed in square units, like m 2, cm 2, in 2, ft 2, yd 2, etc. The surface area of a tetrahedron is defined as the total area or region covered by all the faces of the shape.
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