The length, the breadth and the height of a rectangular solid are in the ratio 1:2:3. If the length, breadth and height are increased by 100%, 200% and 200% respectively , then the increase in the volume of the rectangular solid is	Choose the correct choice from the following:
A) 5 times B) 6 times C) 12 times D) 17 times E) 20 times
Here, we're told that the dimensions of a rectangular solid (re: cuboid) - the length, width and height - are in the ratio of 1:2:3.   Let's TEST VALUES and say that...   Length = 1   Width = 2   Height = 3   Next, we're told that the length, width and height are increased 100%, 200% and 200% respectively. Thus, they would now be..   Length = 1+1= 
<gadget id="calculator">1+1</gadget>
<output>2</output>
2   Width= 2 + 2(2) = 6   Height 3 + 2(3) = 9   We're asked for the increase in the VOLUME of the shape (and the answers hint that we should use the Percentage Change Formula).   Initial Volume = (L)(W)(H) = (1)(2)(3) = 6   New Volume = (L)(W)(H) = (2)(6)(9) = 108   Percentage Change = (New-Old)/Old = (108-6)/6 = 102/6= 
<gadget id="calculator">102/6</gadget>
<output>17</output>
17   Thus, the new volume is 17 times greater than the old volume.   17 times
<result>D</result>
The length, the breadth and the height of a rectangular solid are in the ratio 1:2:3. If the length, breadth and height are increased by 100%, 200% and 200% respectively , then the increase in the volume of the rectangular solid is