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Well good luck with the project but what is your question if you want to know what are the dimensions of the corner squares to be cut out then they are 2 cm by 2 cm which will give the base an area of 6 times 11 = 66 square cm.

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Q: A sheet of cardboard is 15 cm long and 10 cm wide. It is to be made into an open box which has a base area of 66cm2 by cutting out equal squares from the four corners and then bending the edges upward?
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What are two different strategies to use to find the area of a figure?

Assuming that it's not some shape that can be described by a formula, then here are 2 ways of finding the area:One way would be to copy the figure onto some graph paper, then count the squares that it covers. Partial squares could be estimated to the nearest 1/2 square, for example. Then use the scale that the graph paper was made to change squares to an actual area.Another way would be to draw it onto some cardboard, then cut out the figure and weigh the shape. If you know how much a known amount of cardboard weighs.For example, if a certain cardboard weighs 10 grams for a 10 cm by 10 cm (100 cm²) area. That is 0.1 gram/cm². Then you trace the shape onto the cardboard then cut it out, and weigh on a precision scale. If the shape weighs 3.6 grams (for example), then (3.6 gram)/(0.1 gram/cm²) = 36 cm²


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There are 49 of the smallest squares. However, any grid forms "squares" that consist of more than one of the smallest squares. For example, there are four different 6x6 squares that each include 36 of the small squares, nine different 5x5 squares, sixteen 4x4 squares, twenty-five 3 x 3 squares, and thirty-six different squares that contain 4 of the small squares. One could therefore discern 140 distinct "squares." The number can be calculated from the formula [(n)(n+1)(2n+1)] / 6 where n is the grid size.


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