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

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation: