Fill in the table given below. Polyhedron Faces ( F ) Vertices ( V ) Edges ( E ) V - E + F Rectangular Prism 8 Cube 6 Triangular Prism 9 Rectangular Pyramid 8 Triangular Pyramid 4

We are asked to complete the given table. We know that according to Euler’s formula for any convex polyhedron, the number of Faces ( F ) and vertices ( V ) added together is exactly two more than the number of edges ( E ) . F + V = 2 + E or V - E + F = 2 For a rectangular prism, There are 6 faces, 8 vertices and 12 edges. ⇒ V - E + F = 8 - 12 + 6 = 2 For a cube, There are 6 faces, 8 vertices and 12 edges. ⇒ V - E + F = 8 - 12 + 6 = 2 For a triangular prism, There are 5 faces, 6 vertices and 9 edges. ⇒ V - E + F = 6 - 9 + 5 = 2 For a rectangular pyramid, There are 5 faces, 5 vertices and 8 edges. ⇒ V - E + F = 5 - 8 + 5 = 2 For a triangular pyramid, There are 4 faces, 4 vertices and 6 edges. ⇒ V - E + F = 4 - 6 + 4 = 2 Hence, the completed table is as follows: Polyhedron Faces ( F ) Vertices ( V ) Edges ( E ) V - E + F Rectangular Prism 6 8 12 2 Cube 6 8 12 2 Triangular Prism 5 6 9 2 Rectangular Pyramid 5 5 8 2 Triangular Pyramid 4 4 6 2

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'I Did It' Mathematics>Chapter 9 - 3D Visualisation>Exercise 9.2

Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: 3D Visualisation, Exercise 3: Exercise 9.2

Author:Rupesh Pathak & Vaishali Bhatia

Rupesh Pathak Mathematics Solutions for Exercise - Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: 3D Visualisation, Exercise 3: Exercise 9.2

Attempt the practice questions on Chapter 9: 3D Visualisation, Exercise 3: Exercise 9.2 with hints and solutions to strengthen your understanding. 'I Did It' Mathematics solutions are prepared by Experienced Embibe Experts.