Surface Area 147 cm²: Find Missing Cuboid Dimensions

Given the surface area of a cuboid formula:

$S = 2(lw + lh + wh)$

We have one fixed dimension as 17 cm. However, we do not know which two dimensions among length ($l$), width ($w$), or height ($h$) correspond to this value. Our goal is to solve the expression with this unknown configuration as:

$2(17\cdot w + 17\cdot h + wh) = 147$

Simplifying gives:

$17w + 17h + wh = 73.5$

Further simplification only provides combinations for dimensions.
However, no logical combination allows us to solve this equation since the equation involves three variables but is provided just a single constraint (surface area).

Therefore, identifying the dimensions from the given information is impossible without additional details or constraints on the remaining dimensions.

Given the specified choices, the correct conclusion for the problem is "Impossible to calculate."