How many sides does a tetrahedron have?
Answer
573.6k+ views
Hint: A tetrahedron is a solid having four plane triangular faces, three of which meet at each corner or vertex and the base is a triangle. In general, a tetrahedron is a polyhedron with four sides. If all faces are congruent, the tetrahedron is known as an isosceles tetrahedron. The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point.
Complete step by step answer:
In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
Hence, Tetrahedron is a polyhedron with four triangular faces and six sides.
Additional Information:
A tetrahedron is one of the five platonic solids and it has triangles as its faces. The tetrahedron is the simplest of all the ordinary convex polyhedral and the only one that has fewer than 5 faces. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a triangular pyramid.
Tetrahedron Properties:
It has 4 faces, 6 edges and 4 corners.
All four vertices are equally distant from each other.
At each of its vertex, 3 edges meet.
It has 6 planes of symmetry.
Unlike other platonic solids, a tetrahedron has no parallel faces.
A regular tetrahedron has equilateral triangles for all its faces.
Note: Tetrahedron, cube, octahedron, icosahedron, and dodecahedron are the only 5 platonic solids and tetrahedron is a triangular pyramid, all 4 faces of a tetrahedron are triangles, hence tetrahedron has 4 faces, 6 edges and 4 corners. For any tetrahedron there exists a sphere (called the circum sphere) on which all four vertices lie, and another sphere tangent to the tetrahedron's faces.
Complete step by step answer:
In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
Hence, Tetrahedron is a polyhedron with four triangular faces and six sides.
Additional Information:
A tetrahedron is one of the five platonic solids and it has triangles as its faces. The tetrahedron is the simplest of all the ordinary convex polyhedral and the only one that has fewer than 5 faces. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a triangular pyramid.
Tetrahedron Properties:
It has 4 faces, 6 edges and 4 corners.
All four vertices are equally distant from each other.
At each of its vertex, 3 edges meet.
It has 6 planes of symmetry.
Unlike other platonic solids, a tetrahedron has no parallel faces.
A regular tetrahedron has equilateral triangles for all its faces.
Note: Tetrahedron, cube, octahedron, icosahedron, and dodecahedron are the only 5 platonic solids and tetrahedron is a triangular pyramid, all 4 faces of a tetrahedron are triangles, hence tetrahedron has 4 faces, 6 edges and 4 corners. For any tetrahedron there exists a sphere (called the circum sphere) on which all four vertices lie, and another sphere tangent to the tetrahedron's faces.
Recently Updated Pages
Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Trending doubts
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

Why is it 530 pm in india when it is 1200 afternoon class 10 social science CBSE

What is the full form of POSCO class 10 social science CBSE

Define Potential, Developed, Stock and Reserved resources

The speaker of the Lok Sabha is elected by the APresident class 10 social science CBSE

Complete the sentence with the most appropriate word class 10 english CBSE

