CAT Quantitative Aptitude Questions | CAT Geometry - Mensuration Problems

This question is from CAT Mensuration in CAT Geometry. A cuboid is needed to be wrapped with a paper without tearing and so we need to find the right dimensions of the paper that suits the condition. Mensuration Questions in the CAT exam can be solved with practical approach and thought process rather than just knowing theorems from CAT Geometry. Even if one is not completely prepared for CAT Geometry exam, he or she should be able to do well in Mensuration problems tested by the CAT Exam. Knowing Mensuration formulas is important. Make sure you master Mensuration questions for CAT exam.Its's a Classic Mensuration Problem.

Question 7:Figure below shows a box which has to be completely wrapped with paper. However, a single Sheet of paper need to be used without any tearing. The dimension of the required paper could be

1. 17 cm by 4 cm
2. 12 cm by 6 cm
3. 15 cm by 4 cm
4. 13 cm by 4 cm

Explanatory Answer

Method of solving this CAT Question from Geometry - Mensuration: Calculating the total surface area will be the key to the solution.

Total surface area of the box = 2(4 * 6 + 1 * 6 + 1 * 4)
= 2(24 + 6 + 4)
= 68 cm²
As the problem says, paper can’t be torn/cut a portion of paper will need to be fold, so, the area of paper required would be greater than 68 cm².
Only option b) gives the area greater 68 cm²

The question is " The dimension of the required paper could be"

Hence, the answer is 12 cm by 6 cm

Choice B is the correct answer.