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

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step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc