Question
The sum of length, breadth and height of cuboid is
24cm.If the length of the diagonal is 16 cm, then find the total surface area of the cuboid.(in cm) 2Solution
l+ b+ h = 24 Diagonal =16 Diagonal = √ l2+b2+h2 (l+ b+ h)2 = l2+b2+h2+ 2(l b+ b h +h l) (24)2 = (16)2 +2(l b+ b h +h l) 576 = 256 +2(l b+ b h +h l) 2(l b+ b h +h l) = 576-256=320 Total surface area of cuboid =320
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