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Identify the correct statement from the following.
- a)A triangle has 3 sides and 4 vertices.
- b)A Solid cylinder has 3 faces.
- c)All sides of the rectangle are equal.
- d)A cuboid has 4 flat faces and 12 straight edges.
Correct answer is option 'B'. Can you explain this answer?
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Identify the correct statement from the following.a)A triangle has 3 s...
Correct Statement:
A solid cylinder has 3 faces.
Explanation:
A solid cylinder is a three-dimensional geometric shape that has a circular base and a curved surface connecting the two bases. It is a type of geometric solid known as a "right circular cylinder." Let's analyze the different components of a solid cylinder to understand why the correct statement is option B.
Components of a Solid Cylinder:
1. Base: A solid cylinder has two circular bases that are congruent and parallel to each other. These bases are flat and have the same size and shape. Each base of a cylinder has a single face.
2. Curved Surface: The curved surface of a cylinder connects the two bases. It is formed by the lateral surface area of the cylinder. The curved surface does not have any faces since it is a continuous, unbroken surface.
3. Edges: A solid cylinder does not have any edges. Edges are formed only at the boundaries of flat faces, and since a cylinder has curved surfaces, it does not have any edges.
4. Vertices: A solid cylinder does not have any vertices. Vertices are the points where edges meet, and since a cylinder does not have any edges, it also does not have any vertices.
Conclusion:
Based on the analysis above, we can determine that a solid cylinder has two circular bases, a curved surface, no edges, and no vertices. Therefore, it has a total of three faces - the two circular bases and the curved surface connecting them. Hence, the correct statement is option B: "A solid cylinder has 3 faces."
A solid cylinder has 3 faces.
Explanation:
A solid cylinder is a three-dimensional geometric shape that has a circular base and a curved surface connecting the two bases. It is a type of geometric solid known as a "right circular cylinder." Let's analyze the different components of a solid cylinder to understand why the correct statement is option B.
Components of a Solid Cylinder:
1. Base: A solid cylinder has two circular bases that are congruent and parallel to each other. These bases are flat and have the same size and shape. Each base of a cylinder has a single face.
2. Curved Surface: The curved surface of a cylinder connects the two bases. It is formed by the lateral surface area of the cylinder. The curved surface does not have any faces since it is a continuous, unbroken surface.
3. Edges: A solid cylinder does not have any edges. Edges are formed only at the boundaries of flat faces, and since a cylinder has curved surfaces, it does not have any edges.
4. Vertices: A solid cylinder does not have any vertices. Vertices are the points where edges meet, and since a cylinder does not have any edges, it also does not have any vertices.
Conclusion:
Based on the analysis above, we can determine that a solid cylinder has two circular bases, a curved surface, no edges, and no vertices. Therefore, it has a total of three faces - the two circular bases and the curved surface connecting them. Hence, the correct statement is option B: "A solid cylinder has 3 faces."
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Identify the correct statement from the following.a)A triangle has 3 sides and 4 vertices.b)A Solid cylinder has 3 faces. c)All sides of the rectangle are equal.d)A cuboid has 4 flat faces and 12 straight edges.Correct answer is option 'B'. Can you explain this answer?
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