A gas in a .5 m^3 container at 1 atm and 300 K is then isothermally expanded to 1 m^3, after which it is isobarically heated to 500 K. What is the final volume of the gas?

You drop a styrofoam cube (density=100 kg/m^3) into a tub of water. The cube has sides of length=.4 m. What percent of the cube will float above water?