1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Faces, Edges and Vertices
Using Euler's...
Question
Using Euler's formula, find the number of edges in a polyhedron if the number of faces is 20 and the number of vertices is12.
Open in App
Solution
Then by Euler's formula we have that V−E+F = 2 or E+2 = V+F
V is number of vertices
E is number of edges
F is number of faces
Given F =20 and V =12 We have to find E
E = V+F-2
E = 20+12-2 = 30
Answer : 30
Suggest Corrections
10
Similar questions
Q.
Using Euler's formula find the number of faces of polyhedron having 6 vertices and 12 edges.
Q.
Using Euler's formula, find the number of vertices for a given figure with 6 faces and 12 edges.
Q.
For a polyhedron, by Euler's formula
, where F is the number of faces, V is the number of vertices and E is the number of edges in the polyhedron.
Q.
Find the number of faces, edges and vertices of the following polyhedrons and verify them by using Euler's formula. [4 MARKS]
(i) Tetrahedron
(ii) Octahedron
Q.
Using Euler's formula find the missing numbers in the table:
F
a
c
e
s
?
5
20
V
e
r
t
i
c
e
s
6
?
12
E
d
g
e
s
12
9
?
[4 MARKS]
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Solids and Their Classification
MATHEMATICS
Watch in App
Explore more
Faces, Edges and Vertices
Standard VIII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app