Question
Students in a science classroom performed an experiment in which crayons are placed in a large container of distilled water. Some of the crayons float and some sink. Each crayon has a volume of approximately 4.52 cubic centimeters. An object with a density less than 1 will float, while an object with a density greater than 1 will sink. Which of these THREE crayons should float?
A.
a blue crayon that weighs 4.55 grams
B.
a pink crayon that weighs 4.25 grams
C.
a gray crayon that weighs 4.50 grams
D.
a yellow crayon that weighs 4.75 grams
E.
a green crayon that weighs 5.25 grams
F.
a red crayon that weighs 4.05 grams
A.
a blue crayon that weighs 4.55 grams
B.
a pink crayon that weighs 4.25 grams
C.
a gray crayon that weighs 4.50 grams
D.
a yellow crayon that weighs 4.75 grams
E.
a green crayon that weighs 5.25 grams
F.
a red crayon that weighs 4.05 grams
Answers
Answered by
GPT-4o mini
To determine which crayons will float, we need to calculate the density of each crayon using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given that the volume of each crayon is approximately 4.52 cubic centimeters (cm³), we can calculate the density for each crayon:
1. **Blue crayon**:
- Mass = 4.55 grams
- Density = \( \frac{4.55 \text{ g}}{4.52 \text{ cm}^3} \approx 1.007 \text{ g/cm}^3 \)
2. **Pink crayon**:
- Mass = 4.25 grams
- Density = \( \frac{4.25 \text{ g}}{4.52 \text{ cm}^3} \approx 0.941 \text{ g/cm}^3 \)
3. **Gray crayon**:
- Mass = 4.50 grams
- Density = \( \frac{4.50 \text{ g}}{4.52 \text{ cm}^3} \approx 0.995 \text{ g/cm}^3 \)
4. **Yellow crayon**:
- Mass = 4.75 grams
- Density = \( \frac{4.75 \text{ g}}{4.52 \text{ cm}^3} \approx 1.050 \text{ g/cm}^3 \)
5. **Green crayon**:
- Mass = 5.25 grams
- Density = \( \frac{5.25 \text{ g}}{4.52 \text{ cm}^3} \approx 1.162 \text{ g/cm}^3 \)
6. **Red crayon**:
- Mass = 4.05 grams
- Density = \( \frac{4.05 \text{ g}}{4.52 \text{ cm}^3} \approx 0.896 \text{ g/cm}^3 \)
Now we can determine which crayons float (density < 1) and which sink (density > 1):
- Blue crayon: **Sinks** (1.007 g/cm³)
- Pink crayon: **Floats** (0.941 g/cm³)
- Gray crayon: **Floats** (0.995 g/cm³)
- Yellow crayon: **Sinks** (1.050 g/cm³)
- Green crayon: **Sinks** (1.162 g/cm³)
- Red crayon: **Floats** (0.896 g/cm³)
The crayons that should float are:
- **B. Pink crayon**
- **C. Gray crayon**
- **F. Red crayon**
So, the answer is **B, C, and F**.
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given that the volume of each crayon is approximately 4.52 cubic centimeters (cm³), we can calculate the density for each crayon:
1. **Blue crayon**:
- Mass = 4.55 grams
- Density = \( \frac{4.55 \text{ g}}{4.52 \text{ cm}^3} \approx 1.007 \text{ g/cm}^3 \)
2. **Pink crayon**:
- Mass = 4.25 grams
- Density = \( \frac{4.25 \text{ g}}{4.52 \text{ cm}^3} \approx 0.941 \text{ g/cm}^3 \)
3. **Gray crayon**:
- Mass = 4.50 grams
- Density = \( \frac{4.50 \text{ g}}{4.52 \text{ cm}^3} \approx 0.995 \text{ g/cm}^3 \)
4. **Yellow crayon**:
- Mass = 4.75 grams
- Density = \( \frac{4.75 \text{ g}}{4.52 \text{ cm}^3} \approx 1.050 \text{ g/cm}^3 \)
5. **Green crayon**:
- Mass = 5.25 grams
- Density = \( \frac{5.25 \text{ g}}{4.52 \text{ cm}^3} \approx 1.162 \text{ g/cm}^3 \)
6. **Red crayon**:
- Mass = 4.05 grams
- Density = \( \frac{4.05 \text{ g}}{4.52 \text{ cm}^3} \approx 0.896 \text{ g/cm}^3 \)
Now we can determine which crayons float (density < 1) and which sink (density > 1):
- Blue crayon: **Sinks** (1.007 g/cm³)
- Pink crayon: **Floats** (0.941 g/cm³)
- Gray crayon: **Floats** (0.995 g/cm³)
- Yellow crayon: **Sinks** (1.050 g/cm³)
- Green crayon: **Sinks** (1.162 g/cm³)
- Red crayon: **Floats** (0.896 g/cm³)
The crayons that should float are:
- **B. Pink crayon**
- **C. Gray crayon**
- **F. Red crayon**
So, the answer is **B, C, and F**.