Question

solve with Eulers formula​

Answer 1

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Class 8

>>Maths

>>Visualising Solid Shapes

>>Polyhedrons

>>Using Euler’s formula, complete the foll

Question

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Using Euler’s formula, complete the following table:

Faces

Vertices

Edges

(i)

6

__

12

(ii)

__

5

8

(iii)

14

24

__

(iv)

__

16

30

(v)

16

__

42

(vi)

19

19

__

Medium

Solution

verified

Verified by Toppr

From Euler's formula,

F+V=E+2

Therefore

(i) V=E+2−F

⇒V=12+2−6=8

(ii) F=E+2−V

⇒F=8+2−5=5

(iii) E=F+V−2

⇒E=14+24−2=36

(iv) V=E+2−F

⇒V=30+2−16=16

(v) V=E+2−F

⇒V=42+2−16=28

(vi) E=F+V−2

⇒E=19+19−2=36

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