# The Breadth of a Room is Twice Its Height, One Half of Its Length and the Volume of the Room is 512cu. M. Find Its Dimensions. - Mathematics

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The breadth of a room is twice its height, one half of its length and the volume of the room is 512cu. m. Find its dimensions.

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#### Solution

We have,

b= 2h  and  b =1/2

⇒1/2=2h

⇒l=4h

⇒l  = 4h, b= 2h

Volume = 512m^3

⇒ 4hxx2hxxh = 512

⇒ h^3 = 64

So , l = 4 xx h= 16m

b= 2xxh=8m

and h=4m

Concept: Volume of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 5 | Page 29

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