SOLUTION: An electric wire 0.25cm in diameter and is 33 m in length is melted and form a block of copper whose dimensions are in the ratio 1:2:3. What are the dimensions of the block?

Question 766511: An electric wire 0.25cm in diameter and is 33 m in length is melted and form a block of copper whose dimensions are in the ratio 1:2:3. What are the dimensions of the block?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!


Volume of the wire = base area * length

Base radius = 0.25/2 = 0.125 cm
Length = 33 m = 3300 cm

volume =  = 162}}} (rounding off to nearest whole number)

For the copper block, let the length be x. Then the width = 2x and height = 3x
(since the ratio of the dimensions is 1:2:3)

Volume of the block = x*2x*3x = 6*x^3 = 162



x = 3 cm

So the dimensions of the block are 3 cm, 6 cm and 9 cm.

Hope you got it :)

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