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Answer 1 · 2017-09-15T15:40:00

#w = 4# #"cm"#

The formula for the surface area of a rectangular prism is #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 104 = 6 w + 48 + 8 w#

#Rightarrow 56 = 14 w#

#therefore w = 4#

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