# Maths calculus

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A rectangular box has a square cross-section and the sum of its length and the perimeter of this cross-section is 2 m. If the length of the box is x m, show that its volume V m^3 is given by V = [x(2-x)^2]/16.

Hence find the maximum volume of the box.

• Maths calculus -

2/27m^3
x=2/3

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