The Open Box Problem

... The Open Box An open box is to be made from a sheet of card. Identical squares are cut off the Four Corners of the card as shown. 10 The card is then folded along the dotted lines to make the box. The main aim of this activity is to determine the size of the square cut which makes the volume of the box as large as possible for any given rectangular sheet of card. 1. For any sized square sheet of card investigate the size of the cut out square corner which makes an open box of the largest volume. 2. For any sized rectangular sheet of card investigate size of the cut out square corner which makes an open box of the largest volume. We will use a ten-cm square. We are using a square because it is easier to use one variable because a squares width and length are the

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