Question

The cut out is folded to make a cube. Which of these are the correct deep drawing of the cube?

(a)
 

(b)

(c)
 

(d)
 

Answer 1

Hint:To find which of the given shapes are the correct deep drawing of the cube, firstly, we have to make the cut-out model on a piece of paper. Then, we have to fold the paper to create a cube. Lastly, we have to check the given options with the cube we have obtained.

Complete step-by-step solution:
We are given a cut-out cube. To find which of the given shapes are the correct deep drawing of the cube, we have to follow the below steps.
(i) We have to make the cut-out model on paper.
(ii) Then, we have to fold the paper to create a cube.
(iii) Finally, we have to check the given options with the cube we have obtained.
We will get the cube as shown in the figure below.

The white colour dots are of the outer faces (front, top and right). The purple color dots are on the left face. The black color dots are of the bottom face and the pink color dots are of the back face.
We have to compare each face of the cube that we obtained with the given figures.
We can see that figures (c) and (d) are similar to the ones we have created.
Hence, the correct options are (c) and (d).

and

Note: Students can also find the solution to this puzzle by a simple logic which includes the knowledge of faces of a cube. We know that a cube has 6 faces. From the given cut-out figure, the face with dots 1 and 6 cannot come together as they will be opposite faces after folding. Similarly, faces with dots 2 and 5 cannot be together. Therefore, option b is eliminated.