create a cube using the net (any 2 form) and verify Euler's formula for it
Answers
SOLUTION
TO VERIFY
Create a cube using the net and verify Euler's formula for it
CONCEPT TO BE IMPLEMENTED
Euler’s formula for Polyhedron :
For polyhedron F + V = E + 2
Where F stands for number of faces , V stands for number of vertices , E stands for number of edges .
EVALUATION
We know that a cuboid is also a polyhedron having six faces, eight vertices and twelve edges
Step : 1
Write down number of faces , number of vertices , number of edges
F = Number of faces = 6
V = Number of vertices = 8
E = Number of edges = 12
Step : 2
Use Euler’s formula
By Euler’s formula F + V = E + 2
LHS = F + V = 6 + 8 = 14
RHS = E + 2 = 12 + 2 = 14
Thus LHS = RHS
Hence verified
Figure : Figure of cube and net is referred to the attachment
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