Answer:
10 cm
Step-by-step explanation:
Out of that [tex]160 cm^2[/tex], part of it is given by the surface of the top and bottom faces, which have area [tex]2\times 5 cm^2 = 10 cm^2[/tex] each, for a total of [tex]20 cm^2[/tex] . We are then left with [tex]140 cm^2[/tex] of surface from the side area. That area you can imagine as a rectangle of height h (which we need to know) and base [tex]5+2+5+2 cm = 14 cm[/tex] (imagine it as a box opened on a flat surface)
At this point we have [tex]140cm^2 = 14 cm \times h \rightarrow h= 10 cm[/tex]
