What is the width of a rectangular prism when the surface area is 208 square centimeters, and it has a height of 8 and a depth of 6?

##4 meters##

Given: ##SA=208 m^2## ##L=6m## ##H=8m##

Missing: ##W=?##

substitute all the given to the formula for surface area of a rectangular prism is

##SA=2(LW+LH+WH)##

##208m^2=2[(6m)W+(6m)(8m)+W(8m)]->## substitute all given

##208m^2=2[(6m)W+48m^2+(8m)W]->## simplify.

##104m^2=(6m)W+48m^2+(8m)W->## divide both sides by 2

##104m^2-48m^2=(6m)W+(8m)W->## group all constant on the left side of the equation.

##(56m^2)/(14m)=(cancel((14m))W)/cancel((14m))->## combine.

##4m=W->## cancel and divide.

##W=4m->## apply symmetric property.