volume of an open box
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Volume of a Box: An open box is to be constructed from a piece of cardboard by by cutting squares of sides lengths from each corner and folding up the sides as shown in the figure.
Express the volume of the box as a function of .
Draw a graph of the function , and use it to estimate the maximum volume for such a box.
Volume of a Box An open box with a volume of 1500 cm3 is to be constructed by taking a piece of cardboard 20 cm by 40 cm, cutting squares of side length cm from each corner,and folding up the sides. Show that this can be done in two different ways, and find the exact dimensions of the box in each case