Question

Which is the net of cube?
A.

B.

C.

D.

Answer 1

Hint: In this type of question use the given sequence of square pieces and assemble them in different formations and check whether the given sequence of pieces of square will help to construct a cube or not, use this information to approach towards the solution of this problem.

Complete step-by-step solution -
According to the given information we have 4 types of sequences of squares
To check which one of the given sequence of squares will help to make cube or not let’s first draw a diagram of cube

So we know that the cube have 6 faces
Let’s check the 1st sequence of squares

So in this diagram of sequence of square let’s give the squares number to arrange them into different formations
 

In the above sequence if we take 1 as the base of cube there is no possible way to construct a cube because we will be able to form only 2 faces of cube
Similarly if we take 2, 3, 4 and 5 as a base there is no possible way to construct a cube
So this sequence of squares will not be able to form a cube.
Now checking the sequence of square from 2nd option

So in this diagram of sequence of square let’s give the squares number to arrange them into different formations

In the above sequence of square
It doesn’t depend upon the number of square you take as a base of square in every square as a base the sequence will form a cube
For the 3rd sequences of square

So in this diagram of sequence of square let’s give the squares number to arrange them into different formations

In this sequence if we take 1, 2, 3 and 4 as a base of cube it will be only 4 faces of cube will be possible to form
Whereas when we take the square of number 5 and 6 it will be possible to form only 3 faces
So in this sequence of square it will not be possible to construct a cube
For 4th sequence of square

So in this diagram of sequence of square let’s give the squares number to arrange them into different formations

In this sequence of square 1, 2, 3, 4, 5 and 6 number of square only 2 possible faces are possible to form
So in this sequence of square there is no possible way to construct the cube
Hence, option B is the correct option.

Note: In the above question we used the given sequences of squares to form cube as we know that cube shows some properties such as it have all faces of equal dimension, all the plane angles of cube have right angle, each of the faces of cube connects the 4 faces of cube and the edges which are opposite to each other are parallel to each other.