A-LevelMathematicsDifferentiationMay/June 2010Paper 1 Q88 Marks
A solid rectangular block has a square base of side x cm. The height of the block is h cm and the total surface area of the block is 96 cm². (i) Express h in terms of x and show that the volume, V cm³, of the block is given by V = 24x - ½x³. Given that x can vary, (ii) find the stationary value of V, (iii) determine whether this stationary value is a maximum or a minimum.
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