Question

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.

Answer 1

Hope it will help you

Answer 2

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.