SOLUTION: An open rectangular tank has a square base of side x and height u. The surface area of the tank is Sm^2 and its volume is Vm^3. Show that S = 4V/x + x^2.
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-> SOLUTION: An open rectangular tank has a square base of side x and height u. The surface area of the tank is Sm^2 and its volume is Vm^3. Show that S = 4V/x + x^2.
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Question 1031479: An open rectangular tank has a square base of side x and height u. The surface area of the tank is Sm^2 and its volume is Vm^3. Show that S = 4V/x + x^2. Found 2 solutions by Boreal, josgarithmetic:Answer by Boreal(15235) (Show Source):
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The surface area is x^2 (the base) plus 4xh (the sides)
The volume is x^2*h
solve for h=v/x^2
substitute back into S=x^2+4xh
S=x^2+4*x*v/x^2
S=4v/x + x^2
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