The density of earth is 5.5g/cm^3.Mass of Venus is 81.5% of earth's and volume of Venus is 88% of earths.

Is it possible to find the density of Venus with only data given above? (I have no problem figuring the density of Venus out when given the mass of earth...however i can't figure out how to solve with ONLY the given data points)

The above makes it easier not harder.

density = mass / volume

mass of venus = 0.815 mass earth
Volume of venus = 0.88 volume of earth

hence
density venus = mass venus / volume venus = 0.815 * mass earth / ( 0.88 * volume earth)

= 0.815/0.88 * mass earth/ volume earth
= 0.815/ 0.88 * density earth.

Earth-density = 5.5 g/cm^3 = 550 kg/m^3,
Earth-volme = 1.08 x 10^21 m^3,

Mass of Earth = 1.08 x 10^21 x 550 = 594 x 10^21 kg,

mass of Venus = (81.5/100)*594*10^21 = 484.11 x 10^21 kg,

Volume of venus = (88/100)*1.08*10^21 = 9.50 x 10^20 m^3
Hence,
Density of Venus = 4841.1/9.5 = 509.4 kg/m^3 >==================< ANSWER
OR,
Venus Density = 0.51 g/cm^3 >============================< ANSWER