Given,

Breadth of room = 2×height of room = b = 2×h = h =

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 =

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