Euler's formula: V - E + F = 2 Cube: 8-12+6=2 Polyhedron: 9-13+6=2, so it is possible to have one
Visualize a cube. You know it has 6 faces, 8 corners, and 12 edges. Now, imagine a knife slicing away each corner with a straight plane cut. How many total edges are there now?
A cube has all its faces painted with different colours. It is cut into smaller cubes of equal sizes such that the side of the small cube is one-fourth the big cube. The number of small cubes with only one of the sides painted is-
If possible fill + or - for o and make this true, if not possible then provide the reasoning...
1 o 1/2 o 1/3 o 1/4 o 1/5 o 1/6 o 1/7 o 1/8 o 1/9 o 1/10 o 1/11 o 1/12 = 0
