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What we know:

Pwater(1000kg)

Paluminum(2.7 x 10^3)

Mass of the cubes: each cube weighs 20g's.

Dimensions of the cube: 3cm *3 cm * 3cm

Volume of the boat - 24cm *21cm * 4cm.

The P of the block was found by (30%1000)/(3*3*3%100) which comes out to be .074074. (the units need to be kg/m3)

We also know the weight of the block that is being used because W=MG=(20g)(9.8)

Each block added will add an additional force downward, which will counteract Fb (the buoyancy force).

I do not know the mass of the foil, and we are using normal water 1X10^3 for the experiment.

Any help on a formula or ways to achieve it on how to determine the number of cubes that can be added before the boat sinks.

*The foil is 12" x 12" flat, but the shape can be anything to allow for more/less blocks.