A block of metal has a width of 3.2 cm , a length of 17.1 cm , and height of 5.2cm . Its mass is 1.2kg . Calculate the density of the metal
3.2 x 17.2 x 5.2 = ? cc
Then d = m/v = 1200/?cc = ? g/cc.
Density is defined as the mass of an object divided by its volume. In order to calculate the density of the metal block, we first need to calculate its volume.
The volume of a rectangular block can be calculated by multiplying its width, length, and height. In this case, the width is 3.2 cm, the length is 17.1 cm, and the height is 5.2 cm.
Volume = width x length x height
Volume = 3.2 cm x 17.1 cm x 5.2 cm
Next, we can calculate the density by dividing the mass of the block by its volume.
Density = mass / volume
Density = 1.2 kg / (3.2 cm x 17.1 cm x 5.2 cm)
We need to make sure our units are consistent, so let's convert the centimeters to meters.
Volume = 0.032 m x 0.171 m x 0.052 m
Density = 1.2 kg / (0.032 m x 0.171 m x 0.052 m)
Now, we can calculate the density:
Density = 1.2 kg / 0.00122 m^3
Density = 983.6 kg/m^3
Therefore, the density of the metal block is 983.6 kg/m^3.