Question

The sum of length, breadth and height of a cuboid is 38cm and the length of its diagonal is 22cm find total surface area of the cuboid?

Answer 1

l + b + h = 38 cm

also diagonal = 22 cm

so root over < l2 + b2 + h2> = 22

l2 + b2 + h2 = 484

(l + b + h)2 - 2lb -2bh -2hl = 484

(38)2 - ( 2lb + 2bh + 2hl) = 484

- ( 2lb + 2bh + 2hl) = 484 - 1444

- ( 2lb + 2bh + 2hl) = - 960

( 2lb + 2bh + 2hl) = 960

so TSA = 960 cm2