Question

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.

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Answer 1

Answer:

Length of the room = 16 m

Breadth of the room = 8 m

Height of the room = 4 m

Let the length of the room be l , breadth be b and the height be h.

Given that breadth of the room is twice its height , b = 2h and braedth is half the length of the room , b = l/2.

Volume of the room = l × b × h

= 2b × b × b/2 [l = 2b , h = b/2]

= b³

=> b³ = 512 m³

=> b = 8 m

l = 2b = 16 m , h = b/2 = 4 m

Length = 16 m , breadth = 8 m , height = 4 m

Answer 2

Answer:

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