Visualising Solid Shapes Test

Result

Visualising Solid Shapes Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following figure has six faces ?

A

B

C

D

Solution

Option B shows a cube, which has 6 faces
Question 2
1 / -0

Which is the top view of the prism?

A

B

C

D
None of these

Solution

Top view of the prism placed horizontally would be a rectangle with lines in the figure
Hence, the option D is the answer.
Question 3
1 / -0

An tetrahedron has 4 faces and 6 edges. How many vertices does it have?

A
2

B
4

C
6

D
8

Solution

$$V - E + F =2$$
Where
$$V$$ = number of vertices = ?
$$E$$ = number of edges = $$6$$
$$F$$ = number of faces = $$4$$
$$V-6+4=2$$
$$V-2=2$$
$$V=4$$
Question 4
1 / -0

How many faces does a dodecahedron have whose vertices are $$20$$ and edges $$30$$?

A
$$12$$

B
$$24$$

C
$$20$$

D
$$30$$

Solution

Euler's polyhedron formula, $$V - E + F =2$$
$$V =$$ number of vertices
$$E = $$ number of edges
$$F =$$ number of faces
So, $$20 - 30 + F = 2$$
$$F - 10 = 2$$
$$F = 10 + 2$$
$$F = 12$$
Number of faces $$= 12$$.
Question 5
1 / -0

What shape does the base and the faces of the given figure make?

A

B

C

D

Solution

From the given figure it is clear that the Square and triangle makes the base and face of the figure.
Question 6
1 / -0

The figure above shows 3 different views of a three-dimensional figure constructed from cubes. Which could be the correct option?

A

B

C

D

Solution

Option A satisfies the all $$3$$ different views shown in the question
Hence the correct answer is option $$A$$
Question 7
1 / -0

An icosahedron has 30 edges and 12 vertices. How many faces does it have?

A
10

B
20

C
30

D
40

Solution

Euler's polyhedron formula, $$V - E + F =2$$
V = number of vertices
E = number of edges
F = number of faces
So, $$12 - 30 + F = 2$$
$$F - 18 = 2$$
$$F = 18 + 2$$
$$F = 20$$
Number of faces = 20.
Question 8
1 / -0

Identify the solid with a square base and $$4$$ triangle-shaped sides.

A
Figure 2

B
Figure 1

C
Figure 3

D
Figure 4

Solution

Figure 1 has a square base and $$4$$ triangle-shaped sides.
Figure 2 is a cube that has no triangular-shaped sides.
Figure 3 is a triangular prism that has only 2 triangular sides.
Figure 4 is a triangular pyramid that has no square base.
Question 9
1 / -0

Parul made the stack of blocks shown in the adjoining figure. Which of the following figures shows the front view of the stack of blocks ?

A

B

C

D

Solution

Clearly, from the given figure, we can see that option $$B$$ will show correct front view of stack of block.
Question 10
1 / -0

If you were looking at the 3D shape from the left side what would you see?

A

B

C

D

Solution

If you were looking at the 3D shape from the left side, you will see the first option image.