Answer:
3 cm
Step-by-step explanation:
Given dimensions of the cuboid:
- Length (l) = 10 cm
- Width (w) = 2 cm
- Height (h) = x cm
If the total surface area of the cuboid is 112 cm²:
[tex]\begin{aligned}\textsf{Total SA of cuboid}&= 2 (\sf lh +wh + lw)\\\implies 112&=2(10x+2x+10 \cdot 2)\\112&=2(12x+20)\\112&=24x+40\\24x&=72\\x&=3\end{aligned}[/tex]
Therefore, the height of the cuboid is 3 cm.
