Q8 of 42 Page 10

Using Euler’s formula find the unknown:

(i) V + F = E + 2


6 + F = 12 + 2


F = 14 - 6


F = 8


Therefore number of faces are 8


(ii) V + F = E + 2


V + 5 = 9 + 2


V = 11 - 5


V = 6


Therefore number of vertices are 6


(iii) V + F = E + 2


12 + 20 = E + 2


E = 32 - 2


E = 30


Therefore number of edges are 8

More from this chapter

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6

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..………….

 7

How many faces are there in a

A. cube


B. pentagonal prism


C. tetrahedron


D. pentagonal pyramid?

 9

Draw nets for each of the following polyhedrons:

 10

Which of the following 3D shapes does not have a vertex?