Question
Total surface area of a Cuboid is 592 cm ² and the
Sum of its Length, breadth and height is 30cm, then find out the sum of the squares of its length, breadth and height?Solution
Sum of Length, Breadth and height of a cuboid is 30 cm (l+b+h) = 30cm Total surface area of cuboid = 592cm² 2(lb+bh+hl) = 592cm² Sum of Square of Length, Breadth and Height = l² +b² +h² l² +b² +h² = (l+b+h)² - 2(lb+bh+hl) l² +b² +h² = (30)² - 592 = 900 – 592 = 308
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