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Using Euler’s formula, find the unknown:

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NCERT Solutions for Class 8 Mathematics Chapter 10
Important NCERT Questions
Visualizing Solid Shapes Chapter 10 Exercise 10.3
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 7

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1 Answer

  1. In first column, F = ?, V = 6 and E = 12
    Using Euler’s formula, we see F + V – E = 2
    F + V – E = 2
    ⇒ F + 6 – 12 = 2
    ⇒ F – 6 = 2
    ⇒ F = 2 + 6 = 8
    Hence there are 8 faces.
    In second column, F = 5, V = ? and E = 9
    Using Euler’s formula, we see F + V – E = 2
    F + V – E = 2
    ⇒ 5 + V – 9 = 2
    ⇒ V – 4 = 2
    ⇒ V = 2 + 4 = 6
    Hence there are 6 vertices.
    In third column, F = 20, V = 12 and E = ?
    Using Euler’s formula, we see F + V – E = 2
    F + V – E = 2
    ⇒ 20 + 12 – E = 2
    ⇒ 32 – E = 2
    ⇒ E = 32 – 2 = 30
    Hence there are 30 edges.

    Class 8 Maths Chapter 10 Exercise 10.3 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-10/

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