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the length of a room is double its breadth if the area of the four wall is 192 square if the height of the room for metre find its volume​

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Answered by dondega75
4

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Secondary School Math 5 points

The length of a room is double its breadth. the area of the four walls is 192m^2. if the height of the room is 4m, find its volume.

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Avreen

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mohitgraveiens Ambitious

The Volume of the room is 512 cubic meter.

Step-by-step explanation:

Given,

Area of four walls = 192\ m^2

Height of the room = 4 m

We have to find the volume of the room.

Firstly we will find out the length and breadth of the room.

Solution,

Let the breadth of the room be 'x'.

And according to question, the length of a room is double its breadth.

So we can say that the length of the room is '2x'.

Now according to the formula of area\ of\ four\ walls=2(l+b)\times h

Here l, b and h stands for length, breadth, height respectively.

On putting the values, we get;

2(2x+x)\times4=192\\\\2(3x)\times4=192\\\\24x=192\\\\x=\frac{192}{24}=8\ m

Therefore, breadth=8\ m

length=2x=2\times8=16\ m

Now we use the formula of volume of the room.

volume=l\times b\times h

volume=16\times 8\times 4=512\ m^3

Hence The Volume of the room is 512 cubic meter.

Answered by lexox173
2

Answer:

idk. Maybe definition is not full

Step-by-step explanation:

let's think breadth is x

Then lenght will be 2x

Area of 4 walls=2*(lenght*height)+2*(breadth*height)=2*height*(lenght+breadth)=2*height*(2x+x)=2*height*3x=6x*height=192cm^2

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