if sum of length breadth height of a cube is 22 cm and length of its diagonal is 6√7 cm find its total surface area
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Answer:
Let l,b,h, be the length, breadth and height of the cuboid.
∴l+b+h=19 and
l
2
+b
2
+h
2
=5
5
⇒l
2
+b
2
+h
2
=(5
5
)
2
=125
Surface area of the cuboid =2(lb+bh+lh)
=(l+b+h)
2
- (l
2
+ b
2
+ h
2
)
= 19
2
- 125=361−125=236 cm
2
Step-by-step explanation:
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