UPSC Prelims 1997·GS1·science-and-technology·science and technology

If the number representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be

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Last updated 23 May 2026, 3:31 pm IST
  1. A3
  2. B4
  3. C5
  4. D6Correct

Explanation

To solve this, we use the mathematical formulas for a cube. Let the length of the edge of the cube be x. The formula for the volume of a cube is x raised to the power of 3. The formula for the total surface area of a cube is 6 multiplied by x raised to the power of 2. According to the question, the numerical values of the volume and surface area are equal. Therefore, we set up the equation: x cubed equals 6 times x squared. To find x, we divide both sides of the equation by x squared. This leaves us with x equals 6. Thus, the length of the edge of the cube is 6 units. This matches option D.
science-and-technology: If the number representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms

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