if an object has a mass of 210g and a density of 3.3g/cm cubed, what would be the volume of the object?
Density = mass / volume.
If the volume is V cm³,
then
3.3 = 210/V
Solve for V.
To find the volume of an object, you can use the equation:
Volume = Mass / Density
In this case, the mass of the object is 210g and the density is 3.3g/cm^3. Plugging in these values into the equation:
Volume = 210g / 3.3g/cm^3
Now, to calculate the volume, we need to ensure that the units are consistent. The mass is given in grams (g) and the density is given in grams per cubic centimeter (g/cm^3). Since we want the volume in cubic centimeters (cm^3), the grams in the numerator should cancel out with the grams in the denominator. Therefore, we can rewrite the equation as:
Volume = 210g / (3.3g/cm^3) * (1cm^3/1g)
Now, when we calculate this expression:
Volume = 210g / (3.3g/cm^3) * (1cm^3/1g)
= 210/3.3 cm^3
= 63.64 cm^3
Therefore, the volume of the object would be 63.64 cm^3.