Question

1. Two dice are placed side by side with 4+3, what is the total on the face opposite to the given
numbers
b) 7
c) 11
d) 6
(a) 3

2. What will be the number of faces if there are 6 vertices and 12 edges?
b)10
d) 18
(a) 8
c)12

3. What will be the number of edges if there are 12 vertices and 20 faces?
b)28
d)42
(a) 32
c)30
3. Which of the following is Euler's Formula:
(c)F-V=E-2
(bF +V=E-2
(dF- V + E =2
(a) F +V-E=2​

Answer 1

Answer:

Step-by-step explanation:

Answer of Q/2 - There will be eight faces

Answer of Q/1 - The answer is 7

Answer 2

Answer:

1. B

2.A

3.C

4.D

Step-by-step explanation:

1. Face opposite to 4 is 3 and opposite to 3 is 4

Therefore, there sum is equal to = 3 + 4 = 7

2. F=8. THEREFORE THE NUMBER OF FACES IS 8.

3.According to the formula given by Euler.

F + V = E + 2

Where,

F = no. of faces

V = no. of vertices

E = no. of edges

So,

F+V=E+2

=> 20 + 12 = E + 2

=> 32 = E + 2

=> E = 32 - 2

=> E = 30

Therefore, there are 30 edges of a polyhedron having 20 faces and 12 vertices.

4.F-V+E=2