Answer:
The value of x is 3 cm.
Step-by-step explanation:
Given,
Total surface area of cuboid = 112 cm^2
Height of cuboid = 10 cm
Breadth of cuboid = 2 cm
Length of cuboid = x cm
Solution,
Formula for total surface of cuboid = [tex]2\times(length\times breadth +breadth\times height+height\times length)[/tex]
∴[tex]112=2(x\times2+2\times10+10\times x)\\112=2(2x+20+10x)\\112=2(12x+20)\\12x+20=\frac{112}{2}\\12x+20=56\\12x=56-20\\12x=36\\x=\frac{36}{12}=3[/tex]
Thus the length of cuboid is 3 cm.
