Question

the suface area of a cuboid 12m long and 4m broad is
${192}^{2}$
find its height​

Answer 1

Length = 12m

Breadth = 4m

Surface Area of Cuboid = 2 ( lb + bh + hl )

=> 192 = 2 ( 12×4 + 4×h + h×12 )

=> 96 = 48 + 4h + 12h

=> 96 - 48 = 16h

=> 16h = 48

=> h = 3m

Hence height of the cuboid = 3m

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Answer 2

Answer: Height = 3 m

Length, l = 12m
Width, b= 4m
Let height be h m

Surface Area of cuboid = 192 m^2

We know that
2(lb + bh + hl) = Surface area of cuboid
=> 2(12•4 + 4•h + h•12) = 192
=> 48 + 4h + 12h = 96
=> 48 + 16h = 96
=> 16h = 96 - 48
=> 16h = 48
=> h = 48/16
=> h = 3 m

Hence, height is 3m of cuboid.

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