sum of l,b and h is 33m then the sum of the squares of the l,b and h is 900^2m find the tsa
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Answer:240
Explanation:
ANSWER
Length of diagonal of cuboid =
l
2
+b
2
+c
2
Surface area of cuboid =2(lb+bh+hl)
Assume -
⇒length=l
Breadth=b
Depth=h
Given eq (1) l+b+h=19
eq (2) length of diagonal =11
⇒
l
2
+b
2
+h
2
=11
Simplifying eq (2)
⇒l
2
+b
2
+h
2
=121
Taking (l+b+h)
2
=l
2
+b
2
+h
2
+2lb+2bh+2lh
substituting values
⇒(19)
2
=121+2(lb+bh+lh)
⇒361−121=2(lb+bh+lh)
⇒240=2(lb+bh+lh)
∴ Surface area of cuboid =240.
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