How to calculate volume and thickness of aluminum?

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SUMMARY

To calculate the volume and thickness of a sheet of aluminum, use the density formula: Density = mass / volume. Given the mass of 0.69g and the density of aluminum at 2.699 g/cm³, the volume can be calculated as Volume = mass / density, resulting in approximately 0.256 cm³. The thickness can then be determined using the formula for the volume of a rectangular solid: Volume = length * width * height, where the length is 10.2 cm and the width is 7.5 cm, allowing for the calculation of thickness as height = Volume / (length * width).

PREREQUISITES
  • Understanding of basic physics concepts, specifically density
  • Familiarity with volume calculations for rectangular solids
  • Basic algebra skills for rearranging formulas
  • Knowledge of units of measurement (grams, centimeters)
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I have a sheet of aluminum that has a mass of 0.69g, length of 10.2cm and width of 7.5cm. I need to find the volume in cm3 and the thickness in cm. What is the formula to do this? The density of aluminum is 2.699 g/cm3...do I need to use that in the formula or is that irrelevant when calculating volume and thickness? I am returning to school after 6 years and am confused beyond belief so any help will be greatly appreciated. :cry:
 
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Well, which is the formula for density? Find it and that may answer your question. :smile:
 
Remember,
Density = mass / volume

You know the density of Aluminum and you know the piece of Aluminum's mass, therefore you should be able to re-write the density equation in such a way to solve for volume.

Imagine the square of Aluminum foil as a very thin "block" of Aluminum.
How do you calculate the volume of a block (rectangular solid)?
Volume = length * width * height
or in other words,
Volume = surface area of one side * height
In this case you know the length and width of the foil and you should already know the foils volume from the previous part of the question, from this you can find the foils thickness/height.
 

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