The density of an object is its mass divided by its volume. To find the volume of the object, we can use the formula for the volume of a rectangular prism:
V = l * w * h
Where:
V = Volume
l = length
w = width
h = height
In this case:
V = 2.2cm * 0.8cm * 1.7cm = 2.976 cm^3
To convert the mass from grams to grams per cubic centimeter, we need to convert the volume from cubic centimeters to cubic meters.
1cm^3 =10^-6 m^3. so 2.976cm^3 = 2.976*10^-6 m^3
So the density of the object is:
density = mass/volume = 5.4g / 2.976*10^-6 m^3 = 1817.5 kg/m^3
Now we can compare the density of the object to the density of water which is 1000 kg/m^3.
Since the density of the object is greater than the density of water, the object will not float on water.