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how to use differentiation to calculate the maximum volume of a box. 1 volume of the box V length x width x height 30 - 2x 21 - 2x x draw a simple diagram of the piece of paper with the 4 equal squares cut out 2 V 4x2 - 102x 630 x V 4x3 -. A Show that the volume V cm 3 of the brick is given by.
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X 2 4xy 213 4 462 231 64. A Show that the volume V cm 3 of the brick is given by. Let x y and z be the dimensions of the cardboard box.
D2Vdx2-3x2 and this is negative when x is positive.
We can solve this equation by using algebra. It does not matter whether it is a maximum or a minimum or just a point on the curve you will still have to state both values. First we should find a formula for the volume of our box. Figure 4 shows a solid brick in the shape of a cuboid measuring 2x cm by x cm by y cm.
