the length, breadth and height of a room are 6m, 4m and 5m respectively. it holds 250 boxes. if all the dimension of the room be doubled, then find how many more boxes of the same size it will accomodate.

  Let the volume of 1 box be x then

Volume of room = x * 250

6 * 4 * 5 = x * 250

120 / 250 = x

x = 12 / 25

If the dimentions are doubled then

no of boxes = volume of new room / volume of one box

no of boxes = 12 * 8 * 10 / 12 / 25

no of boxes = 960 * 25 / 12

no of boxes = 80 * 25

no of boxes = 2000

Therefore 2000 boxes can be placed if the dimentions are doubled