Visualising Solid Shapes Test

Result

Visualising Solid Shapes Test - 2

Score
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Weekly Quiz Competition

Question 1
1 / -0

Solid having only line segments as its edges is a ______.

A
Polyhedron

B
Cone

C
Cylinder

D
Polygon
Question 2
1 / -0

If a polyhedron has 12 vertices and 8 faces, then the number of edges of the polyhedron is ____.

A
12

B
14

C
16

D
18

Solution

y Euler's formula F + V - E = 2

⇒ E = 8 + 12 − 2 = 18
Question 3
1 / -0

Number of edges in a triangular prism is

A
9

B
6

C
5

D
8

Solution

There are 9 edges in a triangular prism.
Question 4
1 / -0

Which of the following will not form a polyhedron?

A
1 square and 4 triangles

B
2 triangles and 3 rectangles

C
3 triangles

D
1 pentagon and 5 triangles
Question 5
1 / -0

Using Euler's formula, find the values of P, Q, R and S respectively.

Faces 6 5 20 14

Vertices P Q 36 R

Edges 12 9 S 36

A
8, 6, 24, 54

B
8, 6, 56, 22

C
6, 8, 24, 54

D
7, 8, 56, 22

Solution

We have, 6 + P = 12 + 2

∴ p = 14 - 6 = 8 Also, 5 + Q = 9 + 2

⇒ Q = 11 - 5 = 6 Also, 20 + 36 = S + 2

⇒ S = 56 - 2 = 54 And 14 + R = 36 + 2

⇒ R = 38 - 14 = 24