Question
The sum of total surface area of two cubes is
1248-centimeter square. If the product of the length of their edges is 96 centimeter square. Find the difference between the length of their edges.Solution
Let the length of the edges of the two cube be ‘a’ centimeter and ‘b’ centimeter respectively. According to question, 6a² + 6b² = 1248 a² + b² = 208 And ab = 96 Using the formula, x² + y² = (x - y)² = 2xy 208 = (a - b)² +2*96 (a - b)² = = 208-196 (a - b)² =16 a-b = ± 4 
The desired difference = 4 cm
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