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?
1
6
3
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:
edges, faces, vertices
vertices, edges, faces
vertices, faces, edges
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?
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?
5
1
4
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?
2
6
4
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)
True
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)
True
False
SOLUTION
Solution : A
From the figure,
a die can be made.