Let the length of the edges of the two cubes be ‘a’ cm and ‘b’ cm, respectively According to the question, 6a2 + 6b2 = 1452 Or, a2 + b2 = 1452/6 = 242 And, ab = 103 Using the formula, x2 + y2 = (x – y)2 + 2xy 242 = (a – b)2 + 2 × 103 Or, (a – b)2 = 242 – 206 Or, (a – b)2 = 36 Or, a – b = ±6 So desired difference = 6 cm
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