Free Visualising Solid Shapes 02 Practice Test - 7th grade 

Question 1

The sketches which give an idea of how a figure looks like, when seen from the front (the exact dimensions need not be the same) are called:

A.

Oblique sketches

B.

Isometric sketches

C.

Portrait sketches

D.

Fair sketches

SOLUTION

Solution : A

The sketches which give an idea of how a figure looks like, when seen from the front (the exact dimensions need not be the same) are called oblique sketches.
 

Question 2

The sketches drawn on a sheet which is divided into small equilateral triangles are called:

A.

Oblique sketches

B.

Isometric sketches

C.

Fair sketches

D.

Rough sketches

SOLUTION

Solution : B

The sketches drawn on a sheet which is divided into small equilateral triangles are called isometric sketches.

Question 3

If two cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, then the resulting dimension of the cuboid is length (l), breadth (b) and height (h). Find the value of l+b+h (in cm).​


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SOLUTION

Solution :

When we put the cube side by side, then the lengths of both the cubes are added, but there will be no change in the breadth and height of the cube.

Length (l) = (3+3)=6 cm.
Breadth (b) = 3 cm.
Height (h) = 3 cm.
Hence, l+b+h = 6+3+3 = 12 cm

Question 4

Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 5 and 6 respectively?


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SOLUTION

Solution :

In a die, the sum of numbers on opposite faces is 7.

Therefore, sum of the numbers on the faces opposite to 5 and 6 = (7 - 5) + (7 - 6) = (2 + 1) = 3.

Question 5

Two dice are placed side by side as shown in the figure. What would be the sum of the numbers which are on the opposite faces of 4 and 3 respectively?


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SOLUTION

Solution :

In a die, the sum of numbers on opposite faces is 7.

Therefore, the sum of the numbers on the faces opposite to 4 and 3 = (7 - 4) + (7 - 3) = (3 + 4) = 7

Question 6

Consider the figure of an opened die given below:

What is the value of A?


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SOLUTION

Solution :

In a die, the sum of numbers on opposite faces is always 7.

So, A + 5 = 7

Hence, the value of A is 2.

Question 7

Consider the figure of an opened die given below:

What is the value of B?


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SOLUTION

Solution :

In a die, sum of numbers on opposite faces is 7.

So, B + 4 = 7

Hence the value of B is 3.

Question 8

A cube can cast a shadow in the shape of a pentagon.

A.

True

B.

False

SOLUTION

Solution : B

No, it cannot. A cube can cast a shadow in the shape of a square.

Question 9

The shape of shadow of a circular pipe can be a rectangle.

A.

True

B.

False

SOLUTION

Solution : A

Yes. The shape of shadow of a circular pipe can be a rectangle.

Question 10

The front-view and top-view of a cube are the same.

A.

True

B.

False

SOLUTION

Solution : A

The front, top and side views of a cube are squares. So the front and top views of a cube are the same.