MATYCNJ Fall Meeting, Brookdale CC, 10/1/05 

© 2005, Agnes Azzolino


Write the expression/equation.
4. Find the maximum volume of a rectangular box with a square base at least 1 cm by 1 cm if its surface area is 600 cm2.
 
(surface area) = 600
4(sides) + 2(bases) = 600
4xy + 2x2 = 600
4xy = 600 - 2x2
y = (300 - x2)/(2x)
y = 150x-1 - .5x
 
 
Maximize(volume)
Dx(x2y) = 0
Dx(x2(150x-1 - .5x)) = 0
 



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