mass object = volume x density
volume = 57.50-50.00 = ?
density = given.
Solve for mass object.
volume = 57.50-50.00 = ?
density = given.
Solve for mass object.
so m= d x v
7.50mL x 7.85 g/cm^2= 58.9 (what unit mL or g.cm^2?)
7.50 cc x 7.85 g/cc = 58.9 grams. Note that cc in numerator cancels with cc in the denominator.
1. Calculate the change in volume of the water: Subtract the initial volume from the final volume.
Change in volume = Final volume - Initial volume
Change in volume = 57.50 mL - 50.00 mL
Change in volume = 7.50 mL
2. Convert the change in volume to cm^3, as the density is given in grams per cm^3. Since 1 mL is equal to 1 cm^3, there is no need for conversion in this case.
Change in volume = 7.50 cm^3
3. Use the formula density = mass / volume to calculate the mass of the metal object.
Rearrange the formula to find mass:
Mass = Density x Volume
Mass = 7.85 g/cm^3 x 7.50 cm^3
4. Calculate the mass of the metal object using the values obtained in the previous steps:
Mass = 58.875 g
Therefore, the metal object weighs approximately 58.875 grams.