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
Reviewed by Dalvoy
UPSC Civil Services preparation
- A3
- B4
- C5
- 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.

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