A hollow square shaped tube open at both ends is made of iron. The side of the internal square is 5cm and the length of the tube is 8cm . There is 192cm3 of iron in this tube. ____ is its thickness.

Chapter/Topic: Direct and Inverse Proportions

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Detailed Solution

A hollow square shaped tube open at both ends is made of iron. The side of the internal square is 5cm
and the length of the tube is 8cm . There is 192cm3 of iron in this tube.
seo

Let us take thickness of the tube = x cm
Side of the external square = (5+2x) cm
External volume of the tube − its internal volume = volume of iron in the tube
{(5+2x)×(5+2x)×8}−5×5×8=192
8{(5+2x)2−25}=192
(5+2x)2 = 49
5+2x =7
x =1
Therefore, thickness is 1 cm.

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