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Step-by-step explanation:
Euler's is V+F=E+2
Vertices + Faces = Edges+ 2
i) Cube
V= 8
F= 6
E =12
Euler's Law,
V+F=E+2
6+8=12+2
14=14
ii)A prism
Faces=5
V=6
E=9
Euler's Law,
V+F=E+2
5+6=9+2
11=11
iii) Icosahedron
F=8
V=12
E=18
Euler's Law,
V+F=E+2
8+12=18+2
20=20
iv) Pyramid
F=5
V=5
E=8
Euler's Law,
V+F=E+2
5+5=8+2
10=10
v) Pentagonal Pyramid
F=6
V=6
E=10
Euler's Law,
F+V=E+2
6+6=10+2
12=12
vi)Heptagonal Pyramid,
F=8
V=8
E=14
Euler's Law,
F+V=E+2
8+8=14+2
16=16
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