Question

Verify Eulers formula for : (a) Cube (b) Cubiod (c) Triangular prism (d) Pentagonal pyramid.

Answer 1

Step-by-step explanation:

Cube : F-E+V=2

LHS =6-12+8= -6+8 = 2 RHS=2

HENCE , LHS = RHS

VERIFIED

Cuboid : F-E+V=2

LHS=6-12+8= -6+8 = 2. RHS=2

HENCE, LHS = RHS

VERIFIED

Triangular prism : F-E+V=2

LHS=5-9+6= -4+6 = 2 RHS=2

HENCE, LHS = RHS

VERIFIED

Pentagonal pyramid : F-E+V=2

LHS=6-10+6= -4+6 = 2. RHS=2

HENCE, LHS = RHS

VERIFIED