Question

the length, breadth and height of a room are in the ratio 3:2:1. If it's volume is 1296m^3, find it's breadth.​

Answer 1

Step-by-step explanation:

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Answer 2

Solution :

Breadth of room is 12 m

Step by step Explanation :

Given : The length, breadth and height of a room are in the ratio 3:2:1

Let the length of room be 3x , breadth be 2x amd height be x

We have to Find the value of breadth

It's given that : Volume of room = 1296 cm³

Thus ,

Volume= 1296 cm³

$\sf\implies1296=(3x)\times(2x)\times(x)$

$\sf\implies1296=6x^3$

$\sf\implies\:x^3=\dfrac{1296}{6}$

$\sf\implies\:x^3=216$

$\sf\implies\:x=\sqrt[3]{216}$

$\sf\implies\:x=6m$

Hence ,

• Length = 3x= 18 m
• Breadth = 2x = 12 m
• Height = x= 6 m