Compute the density in g/cm3 of a piece of metal that has a mass of 0.360 kg and a volume of 74 cm3.
D = 360g/74cm^3 = 4.86 g/cm^3.
To compute the density of the metal, we can use the formula:
Density = Mass / Volume
Given:
Mass = 0.360 kg
Volume = 74 cm^3
Step 1: Convert kg to grams
Since the given mass is in kilograms (kg), we need to convert it to grams (g). We know that 1 kg is equal to 1000 g.
0.360 kg = 0.360 x 1000 g = 360 g
Step 2: Divide mass by volume
Now we divide the mass (in grams) by the volume (in cm^3) to find the density.
Density = 360 g / 74 cm^3
Step 3: Simplify the density
Divide 360 g by 74 cm^3 to get the density.
Density = 4.86 g/cm^3
So, the density of the metal is 4.86 g/cm^3.
To compute the density of a substance, you need to divide its mass by its volume. In this case, you have the mass of the metal, which is 0.360 kg, and the volume, which is 74 cm³. To calculate the density in g/cm³, you should follow these steps:
Step 1: Convert the mass from kilograms to grams:
- To do this, multiply the mass by 1000 since there are 1000 grams in one kilogram.
- (0.360 kg) x (1000 g/kg) = 360 g
Step 2: Divide the mass in grams by the volume in cm³:
- To find the density, divide the mass by the volume.
- Density = Mass (g) / Volume (cm³)
- Density = 360 g / 74 cm³
Step 3: Perform the division to find the density:
- The division can be done as follows:
- Density = 4.864 g/cm³ (rounded to three decimal places)
Therefore, the density of the piece of metal is approximately 4.864 g/cm³.