wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following can not be true for a polyhedron?

A
F = 12, V = 20 and E = 30
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
F = 8, V = 6 and E = 12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
F = 6, V = 4 and E = 6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
F = 4, V = 4 and E = 6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C F = 6, V = 4 and E = 6
By the Euler's Relation, we know that
F + V = E + 2.

If F = 4, V = 4 and E = 6
4+4=6+2
8=8
Hence, F + V = E + 2. So, it is true for polyhedron.

If F = 12, V = 20 and E = 30
12+20=30+2
32=32
Hence, F + V = E + 2. So, it is true for polyhedron.

If F = 6, V = 4 and E = 6
6+4=6+2
108
Hence, F+VE+2. So, it is not true for polyhedron.

If F = 8, V = 6 and E = 12
8+6=12+2
14=14
Hence, F + V = E + 2. So, it is true for polyhedron.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solids and Their Classification
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon