Sep 15, 2017

$w = 4$ $\text{cm}$

#### Explanation:

The formula for the surface area of a rectangular prism is $A = 2 \left(l w + l h + w h\right)$.

Let's substitute the relevant values:

$R i g h t a r r o w 208 = 2 \left(6 \cdot w + 6 \cdot 8 + w \cdot 8\right)$

$R i g h t a r r o w 104 = 6 w + 48 + 8 w$

$R i g h t a r r o w 56 = 14 w$

$\therefore w = 4$

Therefore, the width of the rectangular prism is $4$ $\text{cm}$.