Visualising Solid Shapes Test

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Visualising Solid Shapes Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The net shown below forms a/an

A
octagonal pyramid

B
triangular prism

C
triangular pyramid

D
rectangular pyramid

Solution

An octagonal pyramid will be formed from the given net with 8 triangles and 8 sides.
Question 2
1 / -0

How many edges does the given solid have?

A
14

B
16

C
20

D
18

Solution

A hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges and 12 vertices.
Question 3
1 / -0

Which of the following figures can be formed from the given net?

A
(d) only

B
(c) only

C
(a) only

D
(b) only

Solution

Only figure c can be formed from the given net.
Question 4
1 / -0

Which of the following pairs of nets and figures is/are INCORRECTLY matched?

A
(A) and (B) only

B
(B) and (C) only

C
(A), (B) and (D) only

D
(D) only

Solution

(A), (B) and (D) are incorrectly matched.
Question 5
1 / -0

The number of cubes in the given figure is

A
14

B
16

C
18

D
20

Solution

Number of cubes in the first layer from bottom = 8
Number of cubes in the second layer from bottom = 4
Number of cubes in the third and fourth layer = 1 + 1 = 2
So, total number of cubes in the given figure = 8 + 4 + 2 = 14
Question 6
1 / -0

Which of the following statements is/are CORRECT?

Statement 1: The number of edges in a triangular pyramid is six.
Statement 2: The number of vertices in an hexagonal prism is ten.

A
Only statement 1

B
Only statement 2

C
Both statement 1 and statement 2

D
Neither statement 1 nor statement 2

Solution

A triangular pyramid is a pyramid with a triangle as a base and three triangular faces. It has four vertices and six edges.

So, statement 1 is correct.

An hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices.

So, statement 2 is incorrect, as it has 12 vertices.
Question 7
1 / -0

If the given figure (A) is turned in a different position, then which of the following cannot be a figure obtained after turning its position?

A

B

C

D

Solution

All other positions are correct except this one because in this one, few cubes are added.
Question 8
1 / -0

Which of the following option shows the net of the given figure?

A

B

C

D

Solution

The net of the given figure is shown in the second option.
Question 9
1 / -0

Which of the given alternatives shows the top view of the given 3-D figure?

A

B

C

D

Solution

If we look at the given object from the top, it will appear as shown below:
Question 10
1 / -0

How many unit cubes should be removed from the solid on the left to obtain the solid on the right?

A
3

B
2

C
1

D
0

Solution

Only three cubes should be removed from the solid on the left to obtain the solid on the right.
Question 11
1 / -0

Which of the following figures has 12 edges?

A

B

C

D

Solution

The cuboid given in option 1 has 12 edges (4 at the top surface, 4 at the bottom and 4 at both the side faces).

This shape has 9 edges.

This shape has 18 edges.

The given figure has 0 edge.
Question 12
1 / -0

Which of the following figures has the most number of faces?

A

B

C

D

Solution

Figure (1) has 13 faces.

As we can see, figure (2) has 8 faces.

Figure (4) has 6 faces.

Figure (3) has the most number of faces i.e. 14.
Question 13
1 / -0

The given figure is a solid pentagon (not drawn to scale). The net of the solid is wrongly drawn with one extra face. Which of the faces (A, B, C or D) is not a part of the net?

A
A

B
B

C
C

D
D

Solution

Part C does not belong to the net of the given figure that is a pentagonal prism.
Numbers in the square boxes are the top and bottom surfaces.
And numbers in the circles are back faces, which are invisible to the naked eye.
Question 14
1 / -0

Which of the following cubes (A, B, C and D) cannot be made by folding the given Question figure?

A
A

B
B

C
C

D
D

Solution

It can be observed that the following faces are opposite to each other.

Thus, we see that cube 'C' cannot be made using the given Question figure, as hexagon and triangle cannot be adjacent to each other.
Question 15
1 / -0

Which of the following letters has the least number of faces?

A

B

C

D

Solution

Number of faces in letter 'T' = 10
Number of faces in letter 'H' = 14
Number of faces in letter 'E' = 14
Number of faces in letter 'L' = 8
Question 16
1 / -0

Fill in the blanks:

The corners of a solid shape are called its ___(i)____, the line segments of its skeleton are its ___(ii)____, and its flat surfaces are its __(iii)___.

A
(i) edges (ii) vertices (iii) faces

B
(i) vertices (ii) faces (iii) edges

C
(i) vertices (ii) edges (iii) faces

D
(i) faces (ii) edges (iii) vertices

Solution

The corners of a solid shape are called its vertices, the line segments of its skeleton are its edges, and its flat surfaces are its faces.
Question 17
1 / -0

What are the respective numbers of vertices, edges and faces in the following figure?

A
7, 12, 8

B
7, 12, 7

C
12, 7, 7

D
8, 7, 12

Solution

The image is of a hexagonal pyramid.
Number of vertices = 7
Number of edges = 12
Number of faces = 7
Question 18
1 / -0

If the two units cubes marked 'X' are removed from the solid given below, which of the following solid figures will be obtained?

A

B

C

D

Solution

After removing the two blocks marked 'X', we will get the figure given in option 1.

Question 19

1 / -0

Select the only CORRECT match.

Shape	Number of Faces	Number of Vertices	Number of Edges
(A) Pentagonal pyramid	6	6	10
(B) Square- based pyramid	5	8	5
(C) Cube	6	12	8
(D) Sphere	0	1	1

(A)

(B)

(C)

(D)

Solution

A pentagonal pyramid has 6 faces, 6 vertices and 10 edges:

A square-based pyramid has 5 faces, 5 vertices and 8 edges:

A cube has 6 faces, 8 vertices and 12 edges:

A sphere has 0 faces, 0 vertices and 0 edges.

Question 20
1 / -0

The above figure shows a solid formed using two puzzle pieces. Which of the following are the two puzzle pieces?

A
(A) and (D)

B
(B) and (C)

C
(D) and (C)

D
(A) and (C)

Solution

Only when we join the pieces (B) and (C) will we be able to obtain the required image.

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Visualising Solid Shapes Test - 6

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Visualising Solid Shapes Test - 6

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Question 1

octagonal pyramid

triangular prism

triangular pyramid

rectangular pyramid

Solution

Question 2

14

16

20

18

Solution

Question 3

(d) only

(c) only

(a) only

(b) only

Solution

Question 4

(A) and (B) only

(B) and (C) only

(A), (B) and (D) only

(D) only

Solution

Question 5

14

16

18

20

Solution

Question 6

Only statement 1

Only statement 2

Both statement 1 and statement 2

Neither statement 1 nor statement 2

Solution

Question 7

Solution

Question 8

Solution

Question 9

Solution

Question 10

3

2

1

0

Solution

Question 11

Solution

Question 12

Solution

Question 13

A

B

C

D

Solution

Question 14

A

B

C

D

Solution

Question 15

Solution

Question 16

(i) edges (ii) vertices (iii) faces

(i) vertices (ii) faces (iii) edges

(i) vertices (ii) edges (iii) faces

(i) faces (ii) edges (iii) vertices

Solution