Answer:
The term 2lw is independent of the height
Step-by-step explanation:
This formula is usually obtained reasoning like this: the rectangular prism has 6 faces, thus the surface area is the sum of the areas of these faces.
2 faces are l×w rectangles, so their area is lw+lw=2lw. Note that we are not using the height to compute the area, then this is the independent term.
The 4 remaining rectangles involve the height as one of their dimensions, so their areas (2hw+2lh) depend on the height.
