Question

its a brainliest question
so please answer it.
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?

Answer 1

Let the length, breadth and height of the cube be l cm, b cm and h cm, respectively.
Then, l + b + h = 19 cm.
Now,
Diagonal = 11 cm.
√l2 + b2 + h2 = 11
l2 + b2 + h2 = 121.
(Note:- l2 is l square)

Now,
l+b+h = 19
Squaring both sides,
(l+b+h)2 = 19(square)
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.