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The number of faces of a triangular pyramid or tetrahedron is _______.
- a)4
- b)6
- c)5
- d)1024
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The number of faces of a triangular pyramid or tetrahedron is _______....
Number of edges: 6
Number of vertices: 4
Base shape: Triangle
Number of vertices: 4
Base shape: Triangle
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The number of faces of a triangular pyramid or tetrahedron is _______....
The correct answer is option A, which states that the number of faces of a triangular pyramid or tetrahedron is 4. Let's understand why this is the case.
1. Triangular Pyramid:
A triangular pyramid is a pyramid with a triangular base and three triangular faces that meet at a common vertex called the apex.
- Triangular Base: The triangular base of the pyramid has three sides and therefore three faces.
- Lateral Faces: The three lateral faces of the pyramid are triangles that connect the apex to each of the three vertices of the base.
So, in total, a triangular pyramid has 4 faces.
2. Tetrahedron:
A tetrahedron is a polyhedron with four triangular faces. It is the simplest type of pyramid, consisting of a triangular base and three triangular faces that meet at a common vertex.
- Triangular Base: The tetrahedron has a triangular base with three faces.
- Lateral Faces: The three lateral faces connect each of the three vertices of the base to the common vertex.
Hence, a tetrahedron also has 4 faces.
Therefore, both a triangular pyramid and a tetrahedron have 4 faces.
1. Triangular Pyramid:
A triangular pyramid is a pyramid with a triangular base and three triangular faces that meet at a common vertex called the apex.
- Triangular Base: The triangular base of the pyramid has three sides and therefore three faces.
- Lateral Faces: The three lateral faces of the pyramid are triangles that connect the apex to each of the three vertices of the base.
So, in total, a triangular pyramid has 4 faces.
2. Tetrahedron:
A tetrahedron is a polyhedron with four triangular faces. It is the simplest type of pyramid, consisting of a triangular base and three triangular faces that meet at a common vertex.
- Triangular Base: The tetrahedron has a triangular base with three faces.
- Lateral Faces: The three lateral faces connect each of the three vertices of the base to the common vertex.
Hence, a tetrahedron also has 4 faces.
Therefore, both a triangular pyramid and a tetrahedron have 4 faces.
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