a piece of silver density 10.5g displaces 4.5ml {cubed} of water in a test tube what is its mass?
I assume the density is 10.5 g/cm^3
10.5 g/cm^3 * 4.5cm^3 = 47.25 g
To find the mass of the silver piece, we can use the density formula:
Density = Mass / Volume
Given that the density of silver is 10.5 g/cm³ and it displaces 4.5 ml of water, we can rearrange the formula to solve for mass:
Mass = Density * Volume
Substituting the values, we have:
Mass = 10.5 g/cm³ * 4.5 ml
Before multiplying, it's important to ensure that the units are consistent. Since the density is in grams per cubic centimeter (g/cm³) and the volume is in milliliters (ml), we need to convert the volume to cubic centimeters by dividing it by 1 (since 1 ml equals 1 cm³).
1 ml = 1 cm³
Therefore,
Mass = 10.5 g/cm³ * 4.5 cm³
Now, we can calculate the mass:
Mass = 47.25 g/cm³
So, the mass of the silver piece is 47.25 grams.