Question A box is made from a rectangular piece of cardboard, 100 cm by 40 cm, by

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A box is made from a rectangular piece of cardboard, 100 cm by 40 cm, by cutting out the shaded areas and folding along the dotted lines as shown in the diagram above. 10.1 Express the length in terms of the height h. Hence prove that the volume of the box is given by V=h(50-h)(40-2h) For which value of h will the volume of the box be a maximum? 10.2 100 cm 10.3 40 cm A box is made from a rectangular piece of cardboard, 100 cm by 40 cm, by cutting out the shaded areas and folding along the dotted lines as shown in the diagram above. 10.1 Express the length in terms of the height h. Hence prove that the volume of the box is given by V=h(50-h)(40-2h) For which value of h will the volume of the box be a maximum? 10.2 100 cm 10.3 40 cm

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