Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

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
$F + V = E + 2$ , i.e., $F + V – E = 2$ ? This relationship is called Euler’s formula.
In fact this formula is true for any polyhedron.

Answers (1)

best_answer

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

Posted by

Divya Prakash Singh

View full answer

Similar Questions

Trending Articles/News

anam-khan

NVS schools report 4,247 teaching and 1,666 non-teaching vacancies: Lok Sabha reply

Latest Question