Latest Wipro Aptitude Question SOLUTION: The rectangle box with square base is open at the top.The maximum volume of the box made from 1200 m2 tin,in m3 is: A)2000 B)2500 C)3000 D)4000

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(#M40003272) WIPRO Numerical Ability question Keep an EYE

The rectangle box with square base is open at the top.The maximum volume of the box made from 1200 m2 tin,in m3 is:
A)2000 B)2500 C)3000 D)4000

Asked In Wipro Subhrangsu Bhowmik (12 years ago)

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joyalin gracia  (7 years ago)

Let the length be x and the breadth be y.
Now since it has a square base;
x=y
Now the surface area can be given as S= x^2+4xy (Area of square base + Area of Sides)
And Volume can be given as V = x^2y
ATQ, S=1200,so 1200=X2+4xy
y=(1200-x2)/4x
Now for V to be max
V'=0
V'(x)=x2y
Solving for x we get x=20
Now y=20m
Hence volume is 20x20x10=4000 m

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