A) 5 times
B) 6 times
C) 12 times
D) 17 times
Correct Answer: D
Solution :
Let the length, breadth and height of the cuboid be x, 2x and 3x, respectively. \[\therefore \] volume = x x 2x x 3x = 6x3 New length, breadth and height = 2x, 6x and 9x, respectively. New volume \[=108{{x}^{3}}\] Thus, increase in volume \[=(108-6){{x}^{3}}\] \[=102\,{{x}^{3}}\] \[\therefore \,\,\frac{\text{Increase}\,\text{in}\,\text{volume}}{\text{Original}\,\text{volum}}\,=\frac{102{{x}^{3}}}{6{{x}^{3}}}\,=17\,\text{times}\]
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