A piece of metal has a mass of 85 cg and a volume of 450L. What is it's density in g/cm3?
To find the density of the metal, we can use the formula:
Density = Mass / Volume
Given:
Mass = 85 cg
Volume = 450L
First, we need to convert the mass from centigrams (cg) to grams (g) because the volume is given in liters, and it will be easier to have the mass in grams as well.
1 cg = 0.01 g
So, the mass in grams (g) is:
85 cg * 0.01 g/cg = 0.85 g
Now we can substitute the values into the formula:
Density = Mass / Volume
Density = 0.85 g / 450 L
Next, we need to convert the volume from liters (L) to cubic centimeters (cm3) because density is typically measured in grams per cubic centimeter (g/cm3).
1 L = 1000 cm3
So, the volume in cubic centimeters (cm3) is:
450 L * 1000 cm3/L = 450,000 cm3
Now we can substitute the values into the formula:
Density = 0.85 g / 450,000 cm3
Calculating this expression:
Density ≈ 0.000001889 g/cm3
Therefore, the density of the metal is approximately 0.000001889 g/cm3.
To find the density of the metal, you need to divide its mass by its volume. Given that the mass is 85 cg (centigrams) and the volume is 450 L (liters), we need to convert them to the appropriate units before calculating.
First, let's convert the mass from centigrams (cg) to grams (g). Since there are 100 centigrams in a gram, we divide 85 cg by 100:
85 cg ÷ 100 = 0.85 g
Next, let's convert the volume from liters (L) to cubic centimeters (cm3). Since there are 1000 cubic centimeters in a liter, we multiply 450 L by 1000:
450 L × 1000 = 450000 cm3
Now that we have both the mass and the volume in the appropriate units, we can calculate the density by dividing the mass by the volume:
Density = Mass / Volume
Density = 0.85 g / 450000 cm3
Calculating the value gives:
Density ≈ 0.00000189 g/cm3
Therefore, the density of the metal is approximately 0.00000189 g/cm3.
D= mass times volume
Think of it as a pie shape so density is on top and mass and volume is on the bottom.... so you have to times 85 and 550 to get 382850 g/cm3