Question

The net shown below can be folded into the shape of a cube. The top view marked with the letter O is opposite to the bottom view marked with which letter?

(a) L
(b) M
(c) N
(d) O
(e) Q

Answer 1

Hint: We will fold it by making a figure in a stepwise manner. This will help us in taking small right steps to form the required figure without confusion. We will simultaneously mark the faces of the required figure in order to find the opposite pairs of the faces.

Complete step-by-step answer:
After the first fold of the given figure will result into a new figure as,

Here O is in the bottom of the figure, M is at the back of the half cube formed, N is on the left side in the figure and L is the front face of the figure that is formed. In this figure we see that L and M are opposite to each other and P and N are opposite to each other.
After the formation of the complete figure the cube will be formed by closing the top by Q. The required cube that is formed after folding the given diagram in the question is shown below.

In the diagram we have that the O is still in the bottom of the figure, M is at the back of the cube formed whereas N is on the left side in the cube and L is the front face of the cube. Also we see that L and M are opposite to each other and P and N are opposite to each other. Moreover, Q and O are opposite to each other as well. Here Q is at the top of the cube.
If we put the cube upside down then the figure formed as

Here we can clearly see that the pairs of the sides that are opposite to each other are L and M, P and N and O and Q. Also, O is at the top of the figure now. Therefore, the top view marked with the letter O is opposite to the bottom view marked with Q letter.
Hence, the correct option is (e).
Note: We will form the cube by using visual thinking. But if possible we can also form the cube by using paper folding and mark the faces of the cube by respected sides naming. After this we will be able to answer the question. The point to be noted here is that O should be at the top of the cube. Then, we will find its opposite bottom side. By following these steps we will eventually get to the right answer. While performing visual thinking one should be focused otherwise the answer can be wrong.