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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Q: 140 (IAS/1997)
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

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,8,4,1,1,2,8

keywords: 

{'surface area': [0, 2, 1, 0], 'cube': [0, 0, 2, 0], 'measurement': [0, 1, 1, 3], 'volume': [0, 0, 1, 0], 'length': [0, 0, 1, 0], 'edge': [0, 1, 1, 0], 'number': [0, 0, 0, 2], 'unit': [0, 1, 5, 10]}

In a cube, the volume is given by the cube of the edge length (e^3) and the surface area is given by six times the square of the edge length (6e^2). If these two values are equal, it means e^3 = 6e^2. Simplifying this, we get e = 6.

However, option 4 suggests that the correct answer is 4, which is incorrect.

Alert - correct answer should be 6.