Mathematics
Assertion (A) : The number of edges in a triangular prism = 9.
Reason (R) : In a triangular prism, the number of vertices = 2 x number of sides = 6;
The number of faces = 2 + number of sides = 5.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Answer
A triangular prism has 3 edges on each triangular base and 3 edges connecting the bases.
Total edges = 3 + 3 + 3 = 9
So, assertion (A) is true.
As we know that
A triangular prism has 5 faces, 9 sides, and 6 vertices.
The number of vertices = 2 x number of sides = 2 x 9 = 18.
The number of faces = 2 + number of sides = 2 + 9 = 11.
So, reason (R) is false.
∴ A is true, but R is false.
Hence, option 3 is the correct option.
Related Questions
Assertion (A) : In a polyhedron, there are 6 vertices, 12 edges then the number of faces are 8.
Reason (R) : In a pentagonal pyramid there are 6 faces, 6 vertices and 10 edges.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : If a polyhedron has 7 vertices and 10 faces, the number of edges is 19.
Reason (R) : The relationship between faces (F), edges (E) and vertices (V) of a polyhedron is F + V - E = 2.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : The number of edges in a rectangular pyramid = 8.
Reason (R) : In a triangular prism, the number of vertices is one more than number of sides and the number of faces is one less than number of sides.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are false.
A is true, but R is false.
A is false, but R is true.
Draw the net of a rectangular box.