Some info about the surface area and volume of the two similar solids has been given. Find the missing value.  Solid 1 SA=54 m² V=648 m³ Solid 2 SA= ? V=8232 m³

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You need to use the definition of similar solids to evaluate the missing value of surface area of solid 2, hence, since the corresponding dimensions of similar solids are proportional, yields:

`V_2/V_1 = (SA_2)/(SA_1)`

`V_1,V_2` represent the volumes of similar solids

`SA_1,SA_2`  represent the surface areas of similar solids

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You need to use the definition of similar solids to evaluate the missing value of surface area of solid 2, hence, since the corresponding dimensions of similar solids are proportional, yields:

`V_2/V_1 = (SA_2)/(SA_1)`

`V_1,V_2` represent the volumes of similar solids

`SA_1,SA_2`  represent the surface areas of similar solids

Repacing the values provided by the problem in equality, yields:

`8232/648 = (SA_2)/54 =>(SA_2) = 54*8232/648 => (SA_2) = 686 m^2`

Hence, evaluating the missing value of surfce area of solid 2, under the given conditions, yields `SA_2 = 686 m^2` .

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