The length breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100%, 200%, and 200% respectively. Then, the increase in the volume of the cuboid will be

Explanation:

Let the length, breadh and height of the cube be x, 2x and 3x respectively.

Then, volume = x × 2x × 3x = 6 x^2

New length, breadth and height = 2x, 6x and 9x respectively.

Now volume = 108 x^3

Hence, increase in volume

= (108 – 6) x^3 = 102 x^3 17 times of original volume.