Visualising Solid Shapes Test

Result

Visualising Solid Shapes Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following is NOT a three dimensional shape?

A
Square prism

B
Sphere

C
Triangular pyramid

D
Circle
Question 2
1 / -0

Euler's formula for any polyhedron, where F stands for the number of faces, V stands for the number of vertices and E stands for the number of edges is __.

A
F + V + E = 2

B
F - V + E = 2

C
F + V - E = 2

D
F - V - E = 2

Solution

Euler's formula is F + V - E = 2
Question 3
1 / -0

Which of the following CANNOT be true for polyhedron?

A
Faces = 4, Vertices = 4, Edges = 6

B
Faces = 8, Vertices = 6, Edges = 12

C
Faces = 5, Vertices = 1, Edges = 8

D
Faces = 20, Vertices = 12, Edges = 30

Solution

Euler's formula for potyhedron is F + V - E = 2
[a] F = 4, V = 4, E = 6
∴ F + V - E = 4 + 4 - 6 = 2,
True [b] F = 8, V = 6, E = 12
∴ F + V - E = 8 + 6 - 12 = 2,
True [c] F = 5, V = 1, E = 8
∴ F + V - E = 5 + 1 - 8 = - 2,
False [d] F = 20, V = 12, E = 30
∴ F + V - E = 20 + 12 - 30 = 2, True
Question 4
1 / -0

The number of faces in a square prism is

A
4

B
6

C
8

D
None of these