Question
The thickness, width and length of a metal slab are 50 mm, 250 mm and 3600 mm, respectively. A rolling operation on this slab reduces the thickness by 10% and increases the width by 3%. The length of the rolled slab is ________________ mm (round off to one decimal place).
Answer :
Correct answer is : 3883.49
Li = 3600 mm, Wi = 250 mm, ti = 50 mm.
Thickness reduces by 10 % and Width increases by 3 %
∴ tf = 0.90 × 50 mm, Wf = 1.03 × 250 mm
Now, Initial volume = Final volume
Li × Wi × ti = Lf × Wf × tf
3600 × 250 × 50 = Lf × 1.03 × 250 × 0.90 × 50
∴ Lf = 3883.49 mm ≈ 3883.5 mm.
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