Middle School

If the density of tin is 7.26 g/cm³, what is the thickness of a piece of tin foil that measures 5.00 cm by 5.00 cm and has a mass of 2.722 g?

Answer :

We know that

Density = mass / volume

And volume = L*W*H (thickness)


First calculate the volume of foil as follows:

Density = mass / volume

Volume = mass / density

= 2.722 g/ 7.26 g/ cm^3

= 0.375 cm^3


And volume = = L*W*H (thickness)

0.375 cm^3 = 5cm*5 cm * thickness

Thickness = 0.015 cm


Final answer:

By using the density formula and the given dimensions and mass of the piece of tin foil, the thickness can be calculated through a series of straightforward steps.

Explanation:

To calculate the thickness of a piece of tin foil with a given mass, dimensions, and density, we can use the formula density = mass / volume, where volume can be further broken down into the area of the foil times its thickness. Given a mass of 2.722g, dimensions of 5.00cm by 5.00cm, and a density of 7.26g/cm3, we first calculate the volume using mass / density, and then solve for thickness by dividing the volume by the area of the foil.

Calculations:

  1. Volume = Mass / Density = 2.722g / 7.26g/cm3
  2. Area of tin foil = length × width = 5.00cm × 5.00cm = 25.00cm2
  3. Thickness = Volume / Area = (2.722g / 7.26g/cm3) / 25.00cm2

We know that

Density = mass / volume

And volume = L*W*H (thickness)

First calculate the volume of foil as follows:

Density = mass / volume

Volume = mass / density

= 2.722 g/ 7.26 g/ cm^3

= 0.375 cm^3

And volume = = L*W*H (thickness)

0.375 cm^3 = 5cm*5 cm * thickness

Thickness = 0.015 cm