The process you might use in order to determine the dimensions of a rectangular box given a maximum surface area is to draw a net, choose three small numbers for the dimensions and find the areas of each rectangular side. One possible set of dimensions is 6”, 5”, and 9”. To find the area, we add the dimensions into the net. But right now, I will show it in equation form. To find the surface area, you would first find the area of each individual square, but since we know that there are 3 pairs of identical squares, we only need to find 3 areas and multiply that by two. In this case, we would first do 9 x 5 = 45. Then we would do 6 x 5 = 30. Then after that we would do 9 x 6 = 54. Lastly, you would do 2(45+30+54) = 2(129) = 258. This would be the surface area of a box with dimensions of 6”, 5”, and 9”. Another possible set of dimensions could be 10”, 10”, and 6”. First, we would do 10 x 10 = 100. Then we would do 6 x 10 = 60. In this equation, since two of the dimensions are the same, that means that there are only two pairs of identical squares. Therefore, the two pairs of areas are going to be 100” and 60”. To find the whole surface area, you would do 4(60) + 2(100) = 240 + 200 = 440. Therefore, the surface area for dimensions 10”, 10”, and 6” is 440. make it way shorter and write it like a 4th grader
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