QuestionMarch 21, 2026

For each of the following dimensional analysis problems underline the requested information and circle the "starting" information Create a strategy or "unit plan"that allows you to convert from the starting units to the requested units using the equalities from the above set (refer back to step # 5 of the strategy discussed in the "Concept Connections" section). Solve the problem by starting with the circled "starting" information and using your conversion factors to implement your unit plan to convert to the underlined requested units. Show all work in the spaces below and circle the final answer. C1. Determine the volume in mL of the piece of aluminum foil that you weighed. Unit Plan: Set Up:

For each of the following dimensional analysis problems underline the requested information and circle the "starting" information Create a strategy or "unit plan"that allows you to convert from the starting units to the requested units using the equalities from the above set (refer back to step # 5 of the strategy discussed in the "Concept Connections" section). Solve the problem by starting with the circled "starting" information and using your conversion factors to implement your unit plan to convert to the underlined requested units. Show all work in the spaces below and circle the final answer. C1. Determine the volume in mL of the piece of aluminum foil that you weighed. Unit Plan: Set Up:
For each of the following dimensional analysis problems underline the requested information and circle
the "starting" information Create a strategy or "unit plan"that allows you to convert from the starting units
to the requested units using the equalities from the above set (refer back to step
# 5 of the strategy
discussed in the "Concept Connections" section). Solve the problem by starting with the circled "starting"
information and using your conversion factors to implement your unit plan to convert to the underlined
requested units. Show all work in the spaces below and circle the final answer.
C1. Determine the volume in mL of the piece of aluminum foil that you weighed.
Unit Plan:
Set Up:

Solution
4.6(240 votes)

Answer

V = \frac{m \ (\text{g})}{2.70} \ \text{mL} (Substitute your measured mass for m to get the numerical answer) Explanation 1. Identify starting and requested units Starting info: mass of aluminum foil (g). Requested info: volume in mL. 2. Write unit plan g \ \text{Al} \ \rightarrow \ \text{cm}^3 \ \rightarrow \ \text{mL}. 3. Use density relationship **Density formula:** \rho = \frac{m}{V} \Rightarrow V = \frac{m}{\rho} Aluminum density: \rho_{\text{Al}} \approx 2.70 \ \text{g/cm}^3. 4. Convert cm³ to mL 1 \ \text{cm}^3 = 1 \ \text{mL}. 5. Perform calculation V (\text{cm}^3) = \frac{m \ (\text{g})}{2.70 \ \text{g/cm}^3}. Then V (\text{mL}) = V (\text{cm}^3).

Explanation

1. Identify starting and requested units <br /> Starting info: mass of aluminum foil (g). <br /> Requested info: volume in mL. <br /><br />2. Write unit plan <br /> $g \ \text{Al} \ \rightarrow \ \text{cm}^3 \ \rightarrow \ \text{mL}$. <br /><br />3. Use density relationship <br /> **Density formula:** $ \rho = \frac{m}{V} \Rightarrow V = \frac{m}{\rho} $ <br /> Aluminum density: $ \rho_{\text{Al}} \approx 2.70 \ \text{g/cm}^3$. <br /><br />4. Convert cm³ to mL <br /> $1 \ \text{cm}^3 = 1 \ \text{mL}$. <br /><br />5. Perform calculation <br /> $V (\text{cm}^3) = \frac{m \ (\text{g})}{2.70 \ \text{g/cm}^3}$. <br /> Then $V (\text{mL}) = V (\text{cm}^3)$.
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