"Grosimi sau adâncimi?"

Translation: Thicknesses or depths?

[Coriander18]

Or if one was measuring cupboards and was asked for the depth of the cupboard would you want to clarify the depth of the cupboard or the thickness of the (depth of the) top?

[Lng52-._]

An oceanographer might use such terminology; e.g., thickness of a reef and/or depth of the ocean.

[Gzeebzee]

Not my specialist subject but maybe when talking about how to stitch a hem on a garment you need to consider both thickness and depth.