University:
Wilkes University
Course:
MTH 343 | Geometry
Academic year:

2021
Views:

353

Pages:

3
Author:

esfredint7qo

MATHS VISUALISING SOLID SHAPES EULER'S FORMULA EXERCISE Q.1 Fill the following table and verify Euler's Formula : Solid f v e f+v e+2 (i) (ii) Q.2 If a polyhedron has six faces and eight vertices, how many edges does it have ? Q.3 How many faces a polyhedron will have if it has sixteen vertices and four edges. Q.4: Copy and complete the table by referring to the diagrams given below, where : F represents the number of faces of a solid, E represents the number of edges and V represents the number of vertices, In each case verify the Euler's formula : F + V = E +2 (i) (ii) (iii) 1 (iv) MATHS (v) (vi) (ix) (x) (vii) (viii) Q.5: A polyhedron is having 8 vertices and 12 edges. How many faces of it are there ? Q.6 An icosahedron is having 20 triangular faces and 12 vertices. Find the number of its edges. Q.7 What is the least number of planes that can enclose a solid ? Name the simplest regular polyhedron and verify Euler's formula for it. Q.8 Can a polyhedron have 12 faces, 22 edges and 17 vertices ? Q.9 Can a polyhedron have 14 faces, 20 edges and 8 vertices ? Q.10 Verify Euler's formula for the given figures. (i) (ii) 2 MATHS ANSWER KEY 2. 12 3. 10 4. 5. 6 6. 30 8. not be polyhedron of the given number of faces, edges and vertices. 9. there can be polyhedron of the given number of faces, edges and vertices. 3