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A polyhedron is such that its base and top are congruent polygons and other faces (lateral) are parallelograms in shape :
- a)Pyramid
- b)Cylinder
- c)Prism
- d)Tetrahedron
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A polyhedron is such that its base and top are congruent polygons and ...
Prism has congruent base and top faces and remaining faces are parallelograms.
Most Upvoted Answer
A polyhedron is such that its base and top are congruent polygons and ...
Explanation:
To determine which option is the correct answer, we need to understand the characteristics of each type of polyhedron mentioned in the question and compare them to the given information.
Pyramid:
A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex called the apex. The lateral faces of a pyramid are triangles, not parallelograms. Therefore, option 'A' is not the correct answer.
Cylinder:
A cylinder is a polyhedron with two congruent circular bases and a curved surface connecting the bases. The lateral faces of a cylinder are not parallelograms. Therefore, option 'B' is not the correct answer.
Tetrahedron:
A tetrahedron is a polyhedron with four triangular faces. The base and top are not congruent polygons, and the lateral faces are not parallelograms. Therefore, option 'D' is not the correct answer.
Prism:
A prism is a polyhedron with two congruent polygons as its bases and rectangular or parallelogram-shaped lateral faces. The given information matches the characteristics of a prism, where the base and top are congruent polygons and the lateral faces are parallelograms. Therefore, option 'C' is the correct answer.
In conclusion, the correct answer is option 'C' - Prism.
To determine which option is the correct answer, we need to understand the characteristics of each type of polyhedron mentioned in the question and compare them to the given information.
Pyramid:
A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex called the apex. The lateral faces of a pyramid are triangles, not parallelograms. Therefore, option 'A' is not the correct answer.
Cylinder:
A cylinder is a polyhedron with two congruent circular bases and a curved surface connecting the bases. The lateral faces of a cylinder are not parallelograms. Therefore, option 'B' is not the correct answer.
Tetrahedron:
A tetrahedron is a polyhedron with four triangular faces. The base and top are not congruent polygons, and the lateral faces are not parallelograms. Therefore, option 'D' is not the correct answer.
Prism:
A prism is a polyhedron with two congruent polygons as its bases and rectangular or parallelogram-shaped lateral faces. The given information matches the characteristics of a prism, where the base and top are congruent polygons and the lateral faces are parallelograms. Therefore, option 'C' is the correct answer.
In conclusion, the correct answer is option 'C' - Prism.
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Community Answer
A polyhedron is such that its base and top are congruent polygons and ...
It is a prism as the congruent polygons on its top and bottom are in such a parallel faces.
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A polyhedron is such that its base and top are congruent polygons and other faces (lateral) are parallelograms in shape :a)Pyramidb)Cylinderc)Prismd)TetrahedronCorrect answer is option 'C'. Can you explain this answer?
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