the length of a cuboid is 3 times of it's height and it's breadth is 2 times it's height if the volume of the cuboid is 48000cm cube, calculate it's dimensions

Abswer:

L = 60

B = 40

H = 20

Step-by-step explanation:

Let us take the height of the cuboid as ''h''.

∴ L = 3h

 B = 2h

 H = h

As the volume of cuboid = L x B x H

= 3h x 2h x h = Volume

= 6h³ = 48000

= h³ = 48000 / 6

= h³ = 8000

We know that 8000 = 20³

∴ h³ = 20³

Therefore h = 20

so -

L = 3h

= 3 x 20

= 60         [Length = 60cm]

B = 2h

= 2 x 20

= 40          [Breadth = 40cm]

H = h

= 20          [Height = 20cm]

Hope it helps you

ghjmutmum

step-by-step explanation: