Question

The sum of length+breadth+height=19cm of a cuboid and its diagonal length=11cm,then find its T.S.A of the cuboid?

please solve tomorrow is exam...

Answer 1

$\underline{STEP \: BY \: STEP \: EXPLANATION:-}$

⇝let the length, breadth , height be = l,b,h

Diagonal= 11

$\sqrt{l \times b \times h} = {11}^{2}$

⇝

l² + b² + h² = 121.

(Note:- l2 is l square)

Now,
l+b+h = 19

Squaring both sides,

(l+b+h)2² = 19²

l² + b² +h² +2(lb+bh+lh) = 361.

121 +2 (lb+bh+lh)= 361.

2(lb+bh+lh)= 240

The TSA of cuboid is 240 cm².

Hope it helped.

Answer 2

Hope it helps you dear