© 2005, Agnes Azzolino
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- 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.
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- (surface area) = 600
- 4(sides) + 2(bases) = 600
- 4xy + 2x2 = 600
- 4xy = 600 - 2x2
- y = (300 - x2)/(2x)
- y = 150x-1 - .5x
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- Maximize(volume)
- Dx(x2y) = 0
- Dx(x2(150x-1 - .5x)) = 0
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