Question

John wants to send a birthday gift to his niece. Which of the following sets of cardboards can be folded into a cubical box to send the gift in?

• A. Set A
• B. Set B
• C. Set C
• D. Set D

Answer 1

The correct option is C Set C

As a cube has six square faces, so the correct cardboard has to have exactly six square parts.


Set A has only five square parts. Hence, it cannot be folded into a cubical box.

Folding the other three sets step by step, we find:

$Step1:$


$Step2:$


In step 2, we find that carboard B cannot be folded as the parts folded in step 1 are in the way.

$Step3:$


In step 3, we find that carboard D cannot be folded as the parts folded in step 1 are in the way.

So, we continue with folding cardboard C.

$FinalSteps:$


Hence, only cardboard set C forms a cubical box.