33.4k views
2 votes
An object has a mass of 5.4g and is 2.2cm long 1.7cm high and 0.8 cm wide what is the density will it float on water:

1 Answer

1 vote

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.

User Alexandrrr
by
7.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.