Question : What is the increase in the volume of a cube of 1 unit edge if each of its edges is tripled?
Option 1: 26 cubic units
Option 2: 29 cubic units
Option 3: 28 cubic units
Option 4: 27 cubic units
Correct Answer: 26 cubic units
Solution :
The initial edge of the cube = 1 unit
Volume of the cube = 1
3
= 1 cubic unit
According to the question,
The new edge of the cube = 3 units
The new volume of the cube = 3
3
= 27 cubic units
$\therefore$ The increase in the volume = 27 – 1 = 26 cubic units
Hence, the correct answer is 26 cubic units.
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