Correct option is (b) 240 cm2
Given, l + b + h = 19cm
Length of the diagonal of cube = \(\sqrt{l^2 + b^2 + h^2}\)
Given, length of the diagonal = 11 cm
\(\sqrt{l^2 + b^2 + h^2}\) = 11 cm
⇒ l2 + b2 + c2 = 112 = 121
⇒ (l + b + h)2 − 2(lb + bh + lh) = 121
⇒ 192 − 2(lb + bh + lh) = 121
⇒ 2(lb + bh + lh) = 240
But 2(lb + bh + lh) is the total surface area of the cuboid.
Hence, total surface area of the cuboid = 240 cm2