A block of metal has a width of 3.2 cm, a length of 17.1 cm, and height of 5.8cm . Its mass is 1.5kg . Calculate the density of the metal.
volume = height * length * width
density = mass / volume
To calculate the density of the metal, the equation Density = Mass/Volume can be used.
Step 1: Calculate the volume of the metal.
The volume of a rectangular object can be found using the equation Volume = Length × Width × Height.
In this case, the volume of the metal is: Volume = 17.1 cm × 3.2 cm × 5.8 cm.
Step 2: Convert the volume to a standard SI unit.
Since the mass is provided in kilograms, it is best to convert the volume to meters, which is also the standard SI unit for length.
1 m = 100 cm, so the volume can be calculated as:
Volume = (17.1 cm × 0.01 m/cm) × (3.2 cm × 0.01 m/cm) × (5.8 cm × 0.01 m/cm).
Step 3: Calculate the density.
The mass is given as 1.5 kg, and the volume has been calculated in the previous step. Now, we can substitute these values into the density formula:
Density = Mass / Volume = 1.5 kg / (Volume).
Step 4: Calculate the final density.
Substitute the calculated value of the volume into the density formula:
Density = 1.5 kg / (Volume).
Now, calculate the final value for the volume, and substitute it into the equation to find the density.