196k views
5 votes
A piece of aluminum weighs 20.34g. It measures 45cm long and 23cm wide and the density is 2.7 g/cm^ 3 , Using the formulas below, what is the thickness of the aluminum?

1 Answer

1 vote

Final answer:

To find the thickness of the aluminum, you can use the formula: Density = Mass/Volume. By substituting the given values into the formula, we can calculate that the thickness of the aluminum is approximately 0.059 cm or 0.59 mm.

Step-by-step explanation:

To find the thickness of the aluminum, you can use the formula:

Density = Mass/Volume

The mass of the aluminum is given as 20.34g and the density is given as 2.7 g/cm³. We can rearrange the formula to solve for the volume:

Volume = Mass/Density

Now, we can substitute the values into the formula:

Volume = 20.34g / 2.7 g/cm³

Volume ≈ 7.55 cm³

The thickness of the aluminum can be calculated using the formula:

Thickness = Volume / (Length × Width)

Substituting the values:

Thickness = 7.55 cm³ / (45 cm × 23 cm)

Thickness ≈ 0.059 cm or 0.59 mm