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The number of triangular faces of a rectangular pyramid is _______.
- a)4
- b)3
- c)2
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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The number of triangular faces of a rectangular pyramid is _______.a)4...
Number of Triangular Faces of a Rectangular Pyramid
A rectangular pyramid is a solid figure that has a rectangular base and triangular faces that meet at a common vertex. To determine the number of triangular faces of a rectangular pyramid, we need to understand its structure and properties.
Structure of a Rectangular Pyramid
- A rectangular pyramid has a rectangular base, which means it has four sides that are equal in length and four right angles.
- From each vertex of the rectangular base, there is a triangular face that extends upward to meet at a common point called the apex or vertex of the pyramid.
- The triangular faces are slanted and have three sides, making them triangles.
Counting the Triangular Faces
To count the number of triangular faces of a rectangular pyramid, we need to consider the number of triangular faces that originate from the vertices of the rectangular base.
- Each vertex of the rectangular base has a triangular face extending from it.
- Since a rectangular base has four vertices, there are four triangular faces originating from these vertices.
Therefore, the number of triangular faces of a rectangular pyramid is 4.
Conclusion
In a rectangular pyramid, there are four triangular faces that originate from the vertices of the rectangular base. Thus, the correct answer is option A) 4.
A rectangular pyramid is a solid figure that has a rectangular base and triangular faces that meet at a common vertex. To determine the number of triangular faces of a rectangular pyramid, we need to understand its structure and properties.
Structure of a Rectangular Pyramid
- A rectangular pyramid has a rectangular base, which means it has four sides that are equal in length and four right angles.
- From each vertex of the rectangular base, there is a triangular face that extends upward to meet at a common point called the apex or vertex of the pyramid.
- The triangular faces are slanted and have three sides, making them triangles.
Counting the Triangular Faces
To count the number of triangular faces of a rectangular pyramid, we need to consider the number of triangular faces that originate from the vertices of the rectangular base.
- Each vertex of the rectangular base has a triangular face extending from it.
- Since a rectangular base has four vertices, there are four triangular faces originating from these vertices.
Therefore, the number of triangular faces of a rectangular pyramid is 4.
Conclusion
In a rectangular pyramid, there are four triangular faces that originate from the vertices of the rectangular base. Thus, the correct answer is option A) 4.
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