Answer:
The height of cuboid is 3 cm
Step-by-step explanation:
Total surface area of cuboid = [tex]2lb+2bh+2hl[/tex]
Length of cuboid = 10 cm
Width of cuboid = 2 cm
Let the height be x
Total surface area of cuboid = [tex]2(10)(2)+2(2)(x)+2(x)(10)[/tex]
Total surface area of this cuboid is 112 cm squared
[tex]2(10)(2)+2(2)(x)+2(x)(10)=112[/tex]
[tex]40+4x+20x=112[/tex]
[tex]40+24x=112[/tex]
[tex]24x=112-40[/tex]
[tex]24x=72[/tex]
[tex]x=\frac{72}{24}[/tex]
[tex]x=3[/tex]
Hence the height of cuboid is 3 cm
