Q4 of 42 Page 10

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

No,


Using Euler’s formula


V + F = E + 2


15 + 10 = 20 + 2


25 ≠ 22


Since the given polyhedron is not following Euler’s formula, therefore its not possible.

More from this chapter

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2

Is it possible to have a polyhedron with any given number of faces?

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Which of the following will not form a polyhedron?

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Which of the following can be the base of a pyramid?

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Fill in the blanks:

A. A cube has……… vertices, ………….edges and …………..faces.


B. The point at which three faces of a figure meet is known as its…………


C. A cuboid is also known as a rectangular…………..


D. A triangular pyramid is called a..………….