Question
4
A teacher told his class that later in the school year they would test a student-designed solar cooker. The solar cooker should meet the following criteria and constraints:
It should be able to evenly heat up three large pizzas around midday within a one-hour class period.
It should be able to keep three large pizzas warm after they are cooked and ready to be brought back to class.
The students were divided into four groups. Each group designed a small prototype of the solar cooker.
Two groups made a Greenhouse Design solar cooker, while the two other groups made a Reflection Design solar cooker as shown in the diagram below.
Image courtesy of NASA/JPL-Caltech
Each group placed a container with 500 mL of water in the prototype for testing. The table below shows the details of the solar cookers.
Greenhouse Design Reflection
Design
Group A Group B Group C Group D
Thickness of the Cardboard 1.5 cm 5 cm 1.5 cm 5 cm
Depth of the Oven 3 inches 5 inches 3 inches 5 inches
Material of the Water's Container Metal Plastic Metal Plastic
Amount of Time to Bring the Water to a Boil 7 minutes 5 minutes 8
minutes 10 minutes
Amount of Time the Water Remains Above 180°F 1.5
hours 1
hour 45 minutes 45 minutes
How can a design combine elements of the prototype designs to best meet the criteria and constraints?
A.
It should preserve heat like Group C's design and have the cardboard thickness of Group D's design.
B.
It should heat as quickly as Group A's design and preserve heat like Group B's design.
C.
It should heat as quickly as Group D's design and have an oven depth of Group C's design.
D.
It should preserve heat like Group A's design and heat as quickly as Group B's design.
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A teacher told his class that later in the school year they would test a student-designed solar cooker. The solar cooker should meet the following criteria and constraints:
It should be able to evenly heat up three large pizzas around midday within a one-hour class period.
It should be able to keep three large pizzas warm after they are cooked and ready to be brought back to class.
The students were divided into four groups. Each group designed a small prototype of the solar cooker.
Two groups made a Greenhouse Design solar cooker, while the two other groups made a Reflection Design solar cooker as shown in the diagram below.
Image courtesy of NASA/JPL-Caltech
Each group placed a container with 500 mL of water in the prototype for testing. The table below shows the details of the solar cookers.
Greenhouse Design Reflection
Design
Group A Group B Group C Group D
Thickness of the Cardboard 1.5 cm 5 cm 1.5 cm 5 cm
Depth of the Oven 3 inches 5 inches 3 inches 5 inches
Material of the Water's Container Metal Plastic Metal Plastic
Amount of Time to Bring the Water to a Boil 7 minutes 5 minutes 8
minutes 10 minutes
Amount of Time the Water Remains Above 180°F 1.5
hours 1
hour 45 minutes 45 minutes
How can a design combine elements of the prototype designs to best meet the criteria and constraints?
A.
It should preserve heat like Group C's design and have the cardboard thickness of Group D's design.
B.
It should heat as quickly as Group A's design and preserve heat like Group B's design.
C.
It should heat as quickly as Group D's design and have an oven depth of Group C's design.
D.
It should preserve heat like Group A's design and heat as quickly as Group B's design.
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Answers
GPT-4o mini
To evaluate the options for combining elements from the prototypes to best meet the stated criteria and constraints for the solar cooker, we should consider both the ability to heat water quickly and the ability to maintain temperature. Here's a breakdown of the relevant information:
**Heating Efficiency (Time to Boil Water):**
- Group A (Greenhouse Design, Metal): 7 minutes
- Group B (Greenhouse Design, Plastic): 5 minutes
- Group C (Reflection Design, Metal): 8 minutes
- Group D (Reflection Design, Plastic): 10 minutes
**Heat Retention (Time above 180°F):**
- Group A (Greenhouse Design, Metal): 1.5 hours
- Group B (Greenhouse Design, Plastic): 1 hour
- Group C (Reflection Design, Metal): 45 minutes
- Group D (Reflection Design, Plastic): 45 minutes
### Criteria:
1. *Quick Heating* - Aim for a design that heats water as quickly as possible.
2. *Effective Heat Retention* - Aim for a design that retains heat for the longest duration.
### Evaluation of the Options:
A. **It should preserve heat like Group C's design and have the cardboard thickness of Group D's design.**
- Group C retains heat for 45 minutes (not great).
- Group D has a cardboard thickness of 5 cm which may not be optimal for heat retention.
- Not ideal.
B. **It should heat as quickly as Group A's design and preserve heat like Group B's design.**
- Group A heats in 7 minutes.
- Group B retains heat for 1 hour.
- This combination is effective for both heating quickly and preserving heat.
C. **It should heat as quickly as Group D's design and have an oven depth of Group C's design.**
- Group D heats in 10 minutes (not fast).
- Group C's depth is only 3 inches.
- This would not effectively meet heating speed requirements.
D. **It should preserve heat like Group A's design and heat as quickly as Group B's design.**
- Group A retains heat for 1.5 hours (excellent).
- Group B heats in 5 minutes (excellent).
- This option provides strong performance in both aspects.
### Conclusion:
The most effective design solution based on heating speed and heat retention would be found in option **D**, as it leverages the best qualities of heats quickly while also effectively retaining heat.
Therefore, the correct answer is **D**.
**Heating Efficiency (Time to Boil Water):**
- Group A (Greenhouse Design, Metal): 7 minutes
- Group B (Greenhouse Design, Plastic): 5 minutes
- Group C (Reflection Design, Metal): 8 minutes
- Group D (Reflection Design, Plastic): 10 minutes
**Heat Retention (Time above 180°F):**
- Group A (Greenhouse Design, Metal): 1.5 hours
- Group B (Greenhouse Design, Plastic): 1 hour
- Group C (Reflection Design, Metal): 45 minutes
- Group D (Reflection Design, Plastic): 45 minutes
### Criteria:
1. *Quick Heating* - Aim for a design that heats water as quickly as possible.
2. *Effective Heat Retention* - Aim for a design that retains heat for the longest duration.
### Evaluation of the Options:
A. **It should preserve heat like Group C's design and have the cardboard thickness of Group D's design.**
- Group C retains heat for 45 minutes (not great).
- Group D has a cardboard thickness of 5 cm which may not be optimal for heat retention.
- Not ideal.
B. **It should heat as quickly as Group A's design and preserve heat like Group B's design.**
- Group A heats in 7 minutes.
- Group B retains heat for 1 hour.
- This combination is effective for both heating quickly and preserving heat.
C. **It should heat as quickly as Group D's design and have an oven depth of Group C's design.**
- Group D heats in 10 minutes (not fast).
- Group C's depth is only 3 inches.
- This would not effectively meet heating speed requirements.
D. **It should preserve heat like Group A's design and heat as quickly as Group B's design.**
- Group A retains heat for 1.5 hours (excellent).
- Group B heats in 5 minutes (excellent).
- This option provides strong performance in both aspects.
### Conclusion:
The most effective design solution based on heating speed and heat retention would be found in option **D**, as it leverages the best qualities of heats quickly while also effectively retaining heat.
Therefore, the correct answer is **D**.