CAT Practice : Mensuration

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Classic Mensuration Problem.



    Figure above 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


  • Correct Answer
    Choice B. 12 cm by 6 cm

Detailed Solution

Total surface area of the box = 2(4x6 + 1x6 + 1x4)

= 2(24 + 6 + 4)

= 68 cm2

As the problem says the 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

Choice (B) is therefore, the correct answer.

Correct Answer: 12 cm by 6 cm

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More questions from Mensuration

  1. Cone and Frustum
  2. Spheres
  3. Circles and Chords
Mensuration is the science of measurement. Cylinders, cones, cuboids, rectangular parallelopipeds etc.