Question

the side of a room are in ratio 5 ratio 3 ratio 2 if the volume of the room is 3750 Cubic metres find the length of room​

Answer 1

let the length,breath &heigth be 5x,3x&2x
volume =3750
$v = l \times b \times h$
3750=5x×3x×2x
3750=30x
x. =3750÷30
125
so, length =5×125
=625

Answer 2

The length of room​ is 25 m

Step-by-step explanation:

The side of a room are in ratio 5:3:2

Let the ratio be x

So, Length of room = 5x

Breadth of room = 3x

Height of room = 2x

Volume of room = $Length \times Breadth \times Height$

Volume of room =$5x \times 3x \times 2x$

We are given that the volume of the room is 3750 Cubic metres

So,$5x \times 3x \times 2x = 3750$

$30x^3 = 3750$

$x^3 = \frac{3750}{30}$

$x = \sqrt[3]{\frac{3750}{30}}$

$x = 5$

Length of room = 5x = 5(5)= 25 m

Hence the length of room​ is 25 m

#Learn more:

The sides of a room are in ratio 5:3:32 and the volume is 3750 cubic meters.find the height of the room.

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