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Visualising Solid Shapes — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSVisualising Solid Shapes3 Marks
Question
Complete the following table and verify Euler’s formula in each case.
 
 
Faces $(F)$
$6$
$4$
$9$
$7$
Edges $(E)$
$12$
$6$
$16$
$15$
Vertex $(V)$
$8$
$4$
$9$
$10$
✓

Answer

 
I
II
III
IV
Faces $(F)$
$6$
$4$
$9$
$7$
Edges $(E)$
$12$
$6$
$16$
$15$
Vertices $(V)$
$8$
$4$
$9$
$10$
Euler's formula $( F - E + V)$
$6 - 12 + 8 = 2$
$4 - 6 + 4 = 2$
$9 - 16 + 9 = 2$
$7 - 15 + 10 = 2$
Hence Euler's formula is verified for these figures.

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