If the congruent polygons of a prism have 10 sides, how many faces, edges and vertices does the prism have? Class 8
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If the congruent polygons of a prism have 10 sides, how many faces, edges and vertices does the prism have? Class 8
Question 1.
If the congruent polygons of a prism have 10 sides, how many faces, edges and vertices does the prism have? What if the polygons have n sides? Class 8
Solution:
Number of faces = 10 + 2 = 12,
number of edges = 30
and number of vertices = 20.
When the polygons have n sides, then
number of faces = n + 2,
number of edges = 3n and
number of vertices = 2n.
Question 2.
If the base of a pyramid has 10 sides, how many faces, edges and vertices does the pyramid have? What if the base is an n-sided polygon? Class 8
Solution:
Number of faces = 10 + 1 = 11,
number of edges = 20 and
number of vertices = 11.
In case of n sided polygonal base,
number of faces = n + 1,
number of edges = 2n and
number of vertices = n + 1.