Visualizing Solid Shapes-Sample Questions

1.   A polyhedron has 30 edges and 12 vertices. How many faces does it have?

2.   A polyhedron has 5 faces and 6 vertices. How many edges does it have?

3.   What is Euler�s formula? Verify the Euler�s formula for a pentagonal prism.

4.   What is a least number of planes that can enclose a solid?

5.   Name the simplest regular polyhedron and verify Euler�s formula for it.

6.   An icosahedron is having 20 triangular faces and 12 vertices. Find the number of its edges.