How Does the Volume of a Block Affect Its Buoyant Force?

[NicholasJ]

Homework Statement

In each case, a block floats in a liquid. The blocks vary in mass and volume. All of the containers have the same volume of an identical liquid. Rank the buoyant force exerted by the liquid on the blocks.

Relevant Equations

Block A:
M=50g V= 100ml
Block B:
M= 50g V= 400ml
Block C:
M= 100g V= 200ml
Block D:
M=200g V=400ml

Since they're all in the same liquid I'm assuming the buoyant forces would be the same on each block. But then I think about the volumes of the blocks, and them being different. I'm not sure if the block's volume would affect the buoyant force. Any help would be great, thanks!

 

[BvU]

I'm assuming

You are not supposed to assume that -- unless you can prove it, don't assume !

Make sketches with all relevant forces on each of the blocks (free body diagrams).

 

[DEvens]

The most important word in the question is "floats." If a block is floating in liquid, what is the buoyant force on the block?