Q) Tabulate the no. of faces,edges and verticles for the following polyhedrons.(Here 'V' stands for no. of vertices, 'F' stands for no. of faces and 'E' stands for no. of edges).
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Answer:
Tabulate the number of faces, edges and vertices for the following polyhedrons: (Here ‘V’ stands for number of vertices, ‘F’ stands for number of faces and ‘E’ stands for number of edges).
Solid F V E F+V E+2
Cuboid
Triangular pyramid
Triangular prism
Pyramid with square base
Prism with square base
What do you infer from the last two columns? In each case, do you find
, i.e.,
? This relationship is called Euler’s formula.
In fact this formula is true for any polyhedron.
Answers (1)
D Divya Prakash Singh
Answered 1 year, 5 months ago
Solid F V E F+V E+2
Cuboid 6 8 12 14 14
Triangular pyramid 4 4 6 8 8
Triangular prism 5 6 9 11 11
Pyramid with square base 5 5 8 10 10
Prism with square base 6 8 12 14 14
Step-by-step explanation:
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Step-by-step explanation:
Solid F V E F+V E+2
Cuboid 6 8 12 14 14
Triangular pyramid 4 4 6 8 8
Triangular prism 5 6 9 11 11
Pyramid with square base 5 5 8 10 10
Prism with square base 6 8 12 14 14