UPSC Prelims 2016·CSAT·Quantitative Aptitude·Geometry and Mensuration

A piece of tin is in the form of a rectangle having length 12 cm and width 8 cm. This is used to construct a closed cube. The side of the cube is:

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Last updated 23 May 2026, 3:31 pm IST
  1. A2 cm
  2. B3 cm
  3. C4 cmCorrect
  4. D7 cm

Explanation

To find the side of the cube, we must equate the total surface area of the rectangular tin sheet to the total surface area of the closed cube. 1. Area of the rectangular tin sheet: Area equals Length multiplied by Width. Area equals 12 cm multiplied by 8 cm which equals 96 square cm. 2. Surface area of a closed cube: A cube has 6 equal faces. If the side of the cube is s, the total surface area is 6 multiplied by s squared. 3. Setting up the equation: 6 multiplied by s squared equals 96. s squared equals 96 divided by 6. s squared equals 16. s equals 4 cm. Therefore, the side of the cube is 4 cm. Option C is correct.
Quantitative Aptitude: A piece of tin is in the form of a rectangle having length 12 cm and width 8 cm. This is used to construct a closed cube
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