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Q1.The sum of length+breadth+height=19cm of a cuboid and its diagonal length=11cm,then find its T.S.A and length,breadth,height of the cuboid?
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l+b+h=19------(1)
diagonal length = 11
l^2+b^2+h^2=121------(2)
l^2+b^2+h^2+2(lb+lh+bh)=(l+b+h)^2
121+2(lb+lh+bh)= 361 (from (1)and (2))
2(lb+lh+bh)=361-121
T.S.A =2(lb+lh+bh)=240cm
diagonal length = 11
l^2+b^2+h^2=121------(2)
l^2+b^2+h^2+2(lb+lh+bh)=(l+b+h)^2
121+2(lb+lh+bh)= 361 (from (1)and (2))
2(lb+lh+bh)=361-121
T.S.A =2(lb+lh+bh)=240cm
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