1.

Fill in the blanks to make the statements true.If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.

Answer»

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.

We have,

Euler’s formula for any polyhedron is, F + V – E = 2

Given, F = 12, V = 20

Where, face (F) = 12, Vertex (V) = 20, Edge (E) =?

Then,

12 + 20 – E = 2

32 – E = 2

32 – 2 = E

Edges (E) = 30



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