Pressure in fluids and Archimedes' principle

[MatinSAR]

Homework Statement

In following picture, a piece of wood and an empty container are floating on a container of water, and a metal object is at the bottom of the container. A) If we take the piece of wood that is on the surface of the water and put it in the container, how will the pressure at the bottom of the water container change? B) If we take that metal object from its place and put it in a container and the container remains floating, how does the pressure at the bottom of the water container change?

Relevant Equations

Archimedes' principle.

Hello.
A: If we put this piece of wood in the emty container, the volume of displaced water will not change (because Buoyant Force has not changed), so the pressure at the bottom of the water container doesn't change and it remains constant.
B: If we put the metal in the emty container, the volume of displaced water should increse (because Buoyant Force has increased), so the pressure at the bottom of the water container is increased.
The volume of displaced water is equivalent to change in water's height.

Am I wrong or not?!

 

[kuruman]

You are correct.

 

[MatinSAR]

You are correct.

Thanks again for your help.