Do PCs have a volumetric carry capacity limit?

In the Player Starting Guide (a summary of the PHB) it says that characters can carry an amount of Strength Value × 15 = weight limit in pounds. But later, in the gear section, there is a table about Container Capacity (usually cubic feets) of backpacks, chests, barrels, vials, etc, even about backpacks it says:

You can also strap items, such as a bedroll or a coil of rope, to the outside of a backpack.

So… are PCs limited by carry weight and by volume?

If that is true, how much initial volume can a character carry?

Is volume tracked per storage item or all as a whole (I mean, if I have an item which size 2 ft3 and two bags with 1 ft3 each one, can I carry that item or not?)?