Visualising Solid Shapes Test

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Visualising Solid Shapes Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

Name the cross-sections you get, when you give a vertical and a horizontal cut to the circular pipe.

A
Circle and Rectangle

B
Circle and Square

C
Sphere and Rectangle

D
Cone and Pipe

Solution

These are the two cross-sections you will get, one is circular and other one is rectangular.
Question 2
1 / -0

How many windows are there in the big room?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

This question needs visualisation, the first figure tells us there is one window near the gate and from the second figure it is clear that there are two more windows, so there are total $$3$$ windows.
Question 3
1 / -0

Isometric sketches are the exact images in _____ but drawn on a ____ paper.

A
$$2D$$ and $$3D$$

B
$$2D$$ and $$2D$$

C
$$3D$$ and $$2D$$

D
$$3D$$ and $$3D$$

Solution

Isometric projection is a method for visually representing three-dimensional objects in two dimensions in technical and engineering drawings. It is an Isometric projection in which the three coordinate axes appear equally foreshortened and the angle between any two of them is 120 degrees.
Question 4
1 / -0

Which three dimensional figure has $$5$$ faces, $$8$$ edges and $$5$$ vertices?

A

B

C

D

Solution

A) Rectangular Pyramid-It has $$5$$ faces, $$8$$ edges and $$5$$ vertices.
B) Cube- it has $$6$$ faces, $$12$$ edges and $$8$$ vertices.
C)Cuboid-It has $$6$$ faces, $$12$$ edges and $$8$$ vertices.
D) Cylinder-It has $$3$$ faces, $$2$$ edges and no vertices.
Answer : A
Question 5
1 / -0

$$p :$$ The corners of a solid shape are called its edges.
$$q :$$ The line segments of a solid shape are called its vertices.
Which of the following options hold?

A
Both $$p$$ and $$q$$ are true

B
$$p$$ is true and $$q$$ is false

C
Both $$p$$ and $$q$$ are false

D
$$p$$ is false and $$q$$ is true

Solution

Edges are the line segments which make the sides of a solid shape, whereas, vertex is the corner of a solid shape, the point where edges meet.

Hence, both $$p$$ and $$q$$ are false.
Question 6
1 / -0

Boundaries of solids are:

A
surfaces

B
curves

C
lines

D
points

Solution

Boundaries of solids are surfaces.
Hence, (a) is the correct answer.
Question 7
1 / -0

How many faces does a coin has

A
$$ 1 $$

B
$$ 2 $$

C
$$ 3 $$

D
$$ 4 $$

Solution

Coin has two faces $$\{Head,tail\}$$
$$n(S)=2$$
Question 8
1 / -0

How many faces does a coin have

A
1

B
2

C
3

D
4

Solution

A coin has $$2$$ faces
$$\Rightarrow$$ Head and Tail
Question 9
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 10
1 / -0

Madhavi glued $$4$$ white cubes together as shown below. Then she painted the entire figure red. How many faces of the $$4$$ cubes were painted red?

A
$$4$$

B
$$9$$

C
$$18$$

D
$$24$$

Solution

The red coloured faces will be $$4$$ front and $$4$$ back faces, $$2$$ side faces, $$4$$ top faces and $$4$$ botton faces.
$$\Rightarrow 4\times 4+2\times 1=16+2=18$$