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A Sample of Aluminum Has a Volume of 23cm^3 The Density of Aluminum Is 2.7 G/cm^3 Calculate the Mass of the Same Using Dimensional

Question

A sample of aluminum has a volume of 23cm^3 The density of aluminum is 2.7 g/cm^3 Calculate the mass of the same using dimensional analysis.Make sure to show your work.

Solution

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Answer

To calculate the mass of the aluminum sample using dimensional analysis, we use the formula for density: Rearranging this formula to solve for mass: ### Given:- Volume ( ) = - Density ( ) = ### Step-by-Step Solution:1. Write the formula for mass: 2. Substitute the given values into the formula: 3. Perform the multiplication: 4. Check units: - The unit in the numerator (from volume) cancels with in the denominator (from density), leaving the unit as grams ( ), which is correct for mass.### Final Answer:The mass of the aluminum sample is: