The sum of the length breadth and depth of cuboid is 19cm and it's diagonal is

Question

The sum of the length breadth and depth of cuboid is 19cm and it's diagonal is 5√5 cm it's surface area is?

Options:

A . 125 Sq.cm

B . 236 Sq.cm

C . 361 Sq.cm

D . None of these

Answer: Option B

(l+b+h) = 19 and
=> (l+b+h) ² =(19) ² and (l2 +b2 +h2) = 125
=> (l² +b² +h²) + 2(lb +bh+lh) = 361 and
(l² +b² +h²) =125
=> 125 + 2(lb +bh+ lh) =361
=> 2(lb +bh+lh) =(361 -125) = 236
Surface area = 236 SQ.cm

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