If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______. Fill in the blanks to make the statement true.
Solution:
Given, If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______.
We have to fill in the blanks to make the statement true.
Euler’s formula for any polyhedron is, F + V – E = 2
Where F stands for number of faces,
V for number of vertices
E for number of edges.
Given, F + V = 14
So, 14 - E = 2
E = 14 - 2
E = 12
Therefore, the number of edges is 12.
✦ Try This: If the sum of number of vertices and faces in a polyhedron is 12, then the number of edges in that shape is ______. Fill in the blanks to make the statement true
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10
NCERT Exemplar Class 8 Maths Chapter 6 Problem 38
If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______. Fill in the blanks to make the statement true.
Summary:
If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is 12.
☛ Related Questions:
- Total number of regular polyhedra is ______. Fill in the blanks to make the statement true
- A regular polyhedron is a solid made up of ______ faces. Fill in the blanks to make the statement tr . . . .
- For each of the following solids, identify the front, side and top views and write it in the space p . . . .
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