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Which solid figure has one square face and four triangular faces that share a common vertex?
- a)sphere
- b)cylinder
- c)cone
- d)pyramid
Correct answer is option 'D'. Can you explain this answer?
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Which solid figure has one square face and four triangular faces that ...
A pyramid is a solid whose base is a plane rectilinear figure whose side faces are triangles having a common vertex, called the vertex of the pyramid.
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Which solid figure has one square face and four triangular faces that ...
Understanding the Solid Figure
To identify the solid figure with one square face and four triangular faces that share a common vertex, we need to analyze the characteristics of the options provided.
Option Analysis
- Sphere: A sphere is a perfectly round solid with no faces, edges, or vertices. Thus, it cannot fit the description.
- Cylinder: A cylinder has two circular faces and one curved surface. It does not have triangular faces or vertices in the way described.
- Cone: A cone has one circular face and a pointed vertex, but it does not have a square face or triangular faces that share a vertex in the mentioned manner.
- Pyramid: A pyramid fits the description perfectly.
Characteristics of a Pyramid
- Base: The base of a pyramid can be any polygon; in this case, it is a square.
- Faces: It has four triangular faces that meet at a point called the apex or vertex.
- Vertex: All triangular faces share this common vertex at the top.
Conclusion
Given the analysis, the solid figure with one square face and four triangular faces that share a common vertex is indeed a pyramid. This makes option 'D' the correct choice.
To identify the solid figure with one square face and four triangular faces that share a common vertex, we need to analyze the characteristics of the options provided.
Option Analysis
- Sphere: A sphere is a perfectly round solid with no faces, edges, or vertices. Thus, it cannot fit the description.
- Cylinder: A cylinder has two circular faces and one curved surface. It does not have triangular faces or vertices in the way described.
- Cone: A cone has one circular face and a pointed vertex, but it does not have a square face or triangular faces that share a vertex in the mentioned manner.
- Pyramid: A pyramid fits the description perfectly.
Characteristics of a Pyramid
- Base: The base of a pyramid can be any polygon; in this case, it is a square.
- Faces: It has four triangular faces that meet at a point called the apex or vertex.
- Vertex: All triangular faces share this common vertex at the top.
Conclusion
Given the analysis, the solid figure with one square face and four triangular faces that share a common vertex is indeed a pyramid. This makes option 'D' the correct choice.
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Which solid figure has one square face and four triangular faces that share a common vertex?a)sphereb)cylinderc)coned)pyramidCorrect answer is option 'D'. Can you explain this answer?
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