Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Educational Text:**
### Calculation of Mass for a Piece of Aluminum Foil
**Problem Statement:**
The density of aluminum is given as \(2.7 \, \text{g/cm}^3\). Calculate the mass, in grams, of a piece of aluminum foil with dimensions:
- Length: \(11 \, \text{cm}\)
- Width: \(5.0 \, \text{cm}\)
- Thickness: \(0.0018 \, \text{cm}\)
**Solution:**
1. **Calculate the Volume:**
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Thickness} = 11 \, \text{cm} \times 5.0 \, \text{cm} \times 0.0018 \, \text{cm}
\]
2. **Compute the Volume:**
\[
\text{Volume} = 0.099 \, \text{cm}^3
\]
3. **Calculate the Mass:**
The mass can be calculated using the formula:
\[
\text{Mass} = \text{Density} \times \text{Volume}
\]
Using the density of aluminum:
\[
\text{Mass} = 2.7 \, \text{g/cm}^3 \times 0.099 \, \text{cm}^3 = 0.2673 \, \text{g}
\]
**Note:** The calculation shows that the mass of the aluminum foil is approximately 0.27 grams.
The image shows the handwritten notes and intermediate values used in calculating the volume and mass, ensuring understanding of the application of density formulas in practical scenarios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7d7525f-9c27-4dea-8079-91e82ba48598%2F104a14b3-a59a-4def-87a9-fa195a786d0d%2F7mtvgts_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Text:**
### Calculation of Mass for a Piece of Aluminum Foil
**Problem Statement:**
The density of aluminum is given as \(2.7 \, \text{g/cm}^3\). Calculate the mass, in grams, of a piece of aluminum foil with dimensions:
- Length: \(11 \, \text{cm}\)
- Width: \(5.0 \, \text{cm}\)
- Thickness: \(0.0018 \, \text{cm}\)
**Solution:**
1. **Calculate the Volume:**
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Thickness} = 11 \, \text{cm} \times 5.0 \, \text{cm} \times 0.0018 \, \text{cm}
\]
2. **Compute the Volume:**
\[
\text{Volume} = 0.099 \, \text{cm}^3
\]
3. **Calculate the Mass:**
The mass can be calculated using the formula:
\[
\text{Mass} = \text{Density} \times \text{Volume}
\]
Using the density of aluminum:
\[
\text{Mass} = 2.7 \, \text{g/cm}^3 \times 0.099 \, \text{cm}^3 = 0.2673 \, \text{g}
\]
**Note:** The calculation shows that the mass of the aluminum foil is approximately 0.27 grams.
The image shows the handwritten notes and intermediate values used in calculating the volume and mass, ensuring understanding of the application of density formulas in practical scenarios.
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