density of object is 6.7 g/cm³ and volume is 30cm³.
First, air has a low density, so the mass in air is very close to the true mass (mass in a vacuum). Let's say the true mass is 200 g.
Then we can use the following formula to find the volume:
AM = TM - V•D where AM is the apparent mass (in water) and TM is the true mass (mass in vacuum which approximates mass in air). , V is the volume of water displaced by the object (which is also the volume of the object) and D is the density of the water, i.e.
170 g = 200 g - V (1,000 g/cm3)
V = 30 cm3
Therefore The density of is approximately 200 g/30 cm3 = 6.7 g/cm3
If you want an exact answer, you can find the density of air under laboratory conditions. For example,
1.20 g/L or 0.00120 g/cm3. Then, using the above equations, we can set up a system of two equations with two unknowns.
200 g = TM - V (0.00120 g/cm3)
170 g = TM - V (1.000 g/cm3)
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