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 is twice of its height = 
Breadth is one half of length = 
Volume of the room = 
= 
= 
= 
Hence,
Breadth of cube = b = 8 dm
Length of cube = 2b = 2×8 = 16 dm
Height of cube = 
6