Different metals have different densities. The density of gold is 19.3 grams per cm?, the density of copper is 8.86 grams per cm³, and the density of bronze is 9.87 grams per cm³. Kathy's bracelet is 106 grams and has a volume of 12 cubic centimeters. What metal is Kathy's bracelet made out of? Please show all the calculations that explain your answer. *
Different metals have different densities. The density of gold is 19.3 grams per cm?, the density of copper is 8.86 grams per cm³, and the density of bronze is 9.87 grams per cm³. Kathy's bracelet is 106 grams and has a volume of 12 cubic centimeters. What metal is Kathy's bracelet made out of? Please show all the calculations that explain your answer. *
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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![### Exploring Metal Densities
Different metals have different densities:
- **Gold**: 19.3 grams per cm³
- **Copper**: 8.86 grams per cm³
- **Bronze**: 9.87 grams per cm³
Kathy's bracelet weighs **106 grams** and has a volume of **12 cubic centimeters**. To determine the metal from which Kathy's bracelet is made, we need to calculate the density of the bracelet and compare it with the densities of the listed metals.
#### Formula for Density
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
#### Calculation
\[ \text{Density of Kathy's bracelet} = \frac{106 \text{ grams}}{12 \text{ cm}^3} \]
\[ \text{Density} = 8.83 \text{ grams per cm}^3 \]
#### Comparison with Known Densities
- Gold: 19.3 grams per cm³
- Copper: 8.86 grams per cm³
- Bronze: 9.87 grams per cm³
The calculated density of Kathy's bracelet is 8.83 grams per cm³, which is very close to the density of copper (8.86 grams per cm³).
#### Conclusion
Based on the calculated density, Kathy's bracelet is most likely made of **copper**.
**Please show all the calculations that explain your answer.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eca9dfd-5be9-47be-9095-b6ce0e99e43e%2F1bc76763-1019-4554-92a3-679dd39846fc%2Fjleb13_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Exploring Metal Densities
Different metals have different densities:
- **Gold**: 19.3 grams per cm³
- **Copper**: 8.86 grams per cm³
- **Bronze**: 9.87 grams per cm³
Kathy's bracelet weighs **106 grams** and has a volume of **12 cubic centimeters**. To determine the metal from which Kathy's bracelet is made, we need to calculate the density of the bracelet and compare it with the densities of the listed metals.
#### Formula for Density
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
#### Calculation
\[ \text{Density of Kathy's bracelet} = \frac{106 \text{ grams}}{12 \text{ cm}^3} \]
\[ \text{Density} = 8.83 \text{ grams per cm}^3 \]
#### Comparison with Known Densities
- Gold: 19.3 grams per cm³
- Copper: 8.86 grams per cm³
- Bronze: 9.87 grams per cm³
The calculated density of Kathy's bracelet is 8.83 grams per cm³, which is very close to the density of copper (8.86 grams per cm³).
#### Conclusion
Based on the calculated density, Kathy's bracelet is most likely made of **copper**.
**Please show all the calculations that explain your answer.**
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