Question

if the length breadth and height of a cuboid roomare in the ratio 4:3:2 and its capacity is 24000m cube. then its length is ​

Answer 1

Answer:

Let the lenght of the cuboid be = 4x m

Breadth = 3x m

Height = 2x m

Capacity = 24000 cubic m

Then, capacity of the cuboid= l × b× h

= 4x × 3x × 2x = 24x^3

ATQ,

24000 = 24x^3

1000 = x^3

10 = x

Therefore,

Therefore,lenght= 4x = 4×10 = 40m

✔✔

Answer 2

Answer: length is equal to 40m

Step-by-step explanation:

Let the ratio of the length,breadth and height Of the cuboid be 4x, 3x and 2x.

Now, volume of cubical room=24000 m cube(given)

So,

4x*3x*2x= 24000

24x cube= 24000

X cube= 24000/24

X= under root 1000

X = under root 10*10*10

X = 10

Therefore, length of the cubical room =4x = 4*10= 40. Answer