Free Visualising Solid Shapes 03 Practice Test - 7th grade 

Question 1

Consider the figure of an opened die given below:

 

What is the value of D?

A.

1

B.

6

C.

3

D.

2

SOLUTION

Solution : C

It is given that it is the figure of a opened die, we know that the sum of numbers on the opposite faces of a die is 7.
So, the number on the opposite face of D is 4.
⟹ D + 4= 7
⟹ D = 7 - 4 = 3
⟹ D = 3

Question 2

The corners of a solid shape are called its _________; the line segments of its skeleton are called its ___________; and its flat surfaces are its ________. The respective blanks should be filled by:

A.

edges, faces, vertices

B.

vertices, edges, faces

C.

vertices, faces, edges

D.

faces, edges, vertices

SOLUTION

Solution : B

The corners of a solid shape are called its vertices; the line segments of its skeleton are called its edges; and its flat surfaces are its faces.

Question 3

Which of the following net diagrams can be used for the above-shown cylinder?

A.

B.

C.

D.

SOLUTION

Solution : B

A cylinder is a combination of two circular shapes and one rectangular shape.

Question 4

The figure can be formed in the shape of a die.

What is the value of A?

A.

5

B.

1

C.

4

D.

2

SOLUTION

Solution : A

It is given that the figure can be formed in the shape of the die, as we know that the sum of numbers on opposite faces of a die is 7.
When we will form a die with the given shape the number on the opposite face of A is 2.
⟹ A + 2 = 7
⟹ A  = 7 - 2
⟹ A  = 5

Question 5

If the following figure can be folded to form a die, then find the value of B?

A.

2

B.

6

C.

4

D.

1

SOLUTION

Solution : B

It is given that the figure can be formed in the shape of the die, we know that the sum of numbers on opposite faces of a die is 7.
When we form a die with the given shape, the number on the opposite face of A , B and C will be 2,1 and 3 respectively.
So, number on the opposite face of B is 1.
⟹B+1=7 
⟹B= 7-1 = 6
⟹B= 6

Question 6

Consider the figure of an opened die given below:

The value of A + B + C is ___.

SOLUTION

Solution :

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

Hence, A + B = 7 and C + 5 = 7 hence C = 7 - 5 = 2.
Therefore, A + B + C = 7 + 2 = 9.

Question 7

The figure can be formed in shape of a die.

 

The value of C should be ______.


___

SOLUTION

Solution :

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

So, 3 + C = 7

C = 4.

 

Question 8

The figure can be formed in shape of die.

The value of A+B+C is ___.

SOLUTION

Solution :

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

So, 3+2+1+A+B+C = 7×3

So, A+B+C = 15. 

Question 9

Consider the figure (square pyramid mounted over cube):

Let the number of faces be F, the number of edges be E and number of vertices be V.

Then F = V. (True/False)

A.

True

B.

False

SOLUTION

Solution : A

Number of faces (F) = 9

Number of edges (E) = 16

Number of vertices (V) = 9

So F = V

Question 10

Can this net diagram be used for a die? (True/False)

​

A.

True

B.

False

SOLUTION

Solution : A

From the figure,

a die can be made.

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