The length of cuboid is l = 13 cm.
The height of cuboid is h = 5 cm.
The width of cuboid is w = 3 cm.
The formula for the total surface area of cuboid is,
[tex]\text{TSA}=2(l\cdot b+l\cdot h+b\cdot h)[/tex]Substitute the values in the formula to obtain the total surface area of cuboid.
[tex]\begin{gathered} \text{TSA}=2(13\cdot3+3\cdot5+13\cdot5) \\ =2(39+15+65) \\ =2\cdot119 \\ =238 \end{gathered}[/tex]So total surface area is 238 centimeter square.
Option J is correct.