The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. Dm. Find its dimensions.
Given,
Breadth of room = 2×height of room = b = 2×h = h = 
Breadth of room = 
Volume of room = 512 dm3
= l×b×h = 512
= 2b×b×
= b3 = 512 = b = 
So, breadth of room = 8 dm
Length of room = 2b = 2×8 = 16 dm
Height of room = 
7