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Answer 1 · 2017-09-15T15:40:00

$w = 4$ $w = 4$ $cm$ $"cm"$

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

Let's substitute the relevant values:

$\Rightarrow 208 = 2 (6 \cdot w + 6 \cdot 8 + w \cdot 8)$ $Rightarrow 208 = 2 (6 cdot w + 6 cdot 8 + w cdot 8)$

$\Rightarrow 104 = 6 w + 48 + 8 w$ $Rightarrow 104 = 6 w + 48 + 8 w$

$\Rightarrow 56 = 14 w$ $Rightarrow 56 = 14 w$

$therefore w = 4$

Therefore, the width of the rectangular prism is $4$ $"cm"$ .