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IF a,b,c length bredth & hight of acuboid such that a+b+c=10 and a2+b2+c2=40 cm2 find the surface area of cuboid |
a+b+c=10 (a+b+c)2 = a2 + b2 +c2 +2ab+2bc+2ac (by an identity) (10) 2 = 40 +2(ab+bc+ca) 100 - 40 = 2(ab+bc+ca) 60 =2(ab+bc+ca) surface area of cuboid = 60cm2 |