The height of cuboid is 3 cm
Step-by-step explanation:
Total surface area of cuboid  = ![2lb+2bh+2hl](/tpl/images/0393/4022/b5448.png)
Length of cuboid = 10 cm
Width of cuboid = 2 cm
Let the height be x
Total surface area of cuboid  = ![2(10)(2)+2(2)(x)+2(x)(10)](/tpl/images/0393/4022/e7dbb.png)
Total surface area of this cuboid is 112 cm squared
 ![2(10)(2)+2(2)(x)+2(x)(10)=112](/tpl/images/0393/4022/3ac1d.png)
![40+4x+20x=112](/tpl/images/0393/4022/e5b13.png)
![40+24x=112](/tpl/images/0393/4022/69ba5.png)
![24x=112-40](/tpl/images/0393/4022/99e29.png)
![24x=72](/tpl/images/0393/4022/69909.png)
![x=\frac{72}{24}](/tpl/images/0393/4022/3a6d4.png)
![x=3](/tpl/images/0393/4022/1547e.png)
Hence the height of cuboid is 3 cm