Provide an Appropriate Response $$\int _ { 1 } ^ { 2 } \int _ { 4 } ^ { 6 } ( y + x ) d x d y$$

Essay

Provide an appropriate response.
-Write a "volume" word problem for which finding the solution would involve evaluating the double integral
$$\int _ { 1 } ^ { 2 } \int _ { 4 } ^ { 6 } ( y + x ) d x d y$$