A box has length $11.1\text{cm}$, width $5.5\text{cm}$ and height $7.7\text{cm}$. Find its total surface area.

Given dimensions of the box (cuboid):
Length ($l$) = $11.1\text{cm}$
Width ($w$) = $5.5\text{cm}$
Height ($h$) = $7.7\text{cm}$

Formula for total surface area ($\text{TSA}$) of a cuboid:

$$\text{TSA}=2(lw+wh+hl)$$

Calculating the terms:

1. $l\times w=11.1\times 5.5=61.05$
2. $w\times h=5.5\times 7.7=42.35$
3. $h\times l=7.7\times 11.1=85.47$

Summing them up:

$$\text{Sum}=61.05+42.35+85.47=188.87$$

Total Surface Area:

$$\text{TSA}=2\times 188.87=377.74{\text{cm}}^2$$