Question 1067836
d^2 = L^2 + W^2 + H^2 = 11^2 = 121
L^2 + W^2 + H^2 = 121
L + W + H = 19
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--> 6 by 6 by 7
SA = 2LW + 2LH + 2WH
SA = 72 + 84 + 84 = 240 sq cm
Other solutions are possible.
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After thinking about it, that's the only solution.