The sum of the length,breadth and height of a cuboid is 38cm and the length of its diagonal is 22cm. Find the surface area of cuboid.Pls explain this step.(l+b+h)²-2lb-2bh-2lh=484
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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
Hope it helps
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
Hope it helps
Jp999:
(l + b + h)² - 2lb -2bh -2hl how??
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