To start off, the problem. We had to construct a boat out of a 12''x12'' piece of aluminum foil. The purpose was to see who could estimate the closest number of cubes that could go inside the boat without it sinking, as well as who is able to get the most in their boat.(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Buoyancy and Density and Buoyancy

**Physics Forums | Science Articles, Homework Help, Discussion**