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Prove that alpha/1= beta/2= gamha/3​

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Hey there! ☺☻☺

\boxed{\boxed{\bold{\alpha : \beta : \gamma = 1:2:3}}}

♣ Alpha (α) is coefficient of LINEAR expansion.

♦ Increase in length during expansion is called linear expansion.

It means object ONE side increases.

Hence α = 1

♣ Beta (β) is coefficient of superficial expansion.

♦ Increase in area during expansion is called superficial expansion.

We KNOW area = Length × Breadth

No. of SIDES = 2

Hence, β = 2

♣ Gamma (\gamma) is coefficient of cubical expansion.

♦ Increase in volume during expansion is called cubical expansion.

We know, volume = Length × Breadth × Height

No. of sides = 3

Hence,\gamma = 3

So, \boxed{\boxed{\bold{\alpha : \beta : \gamma = 1:2:3}}}

Hence Proved!

Hope It Helps You! ☺☻☺


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