The Object. Finally, Using The Formula (Final Volume - Initial ... - Free Printable
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Step-by-step solution for: The Object. Finally, Using The Formula (Final Volume - Initial ...
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Show Answer Key & Explanations
Step-by-step solution for: The Object. Finally, Using The Formula (Final Volume - Initial ...
To solve the problem, we need to determine the volume of each object using the water displacement method. The formula for calculating the volume of an object is:
\[
\text{Volume of Object} = \text{Final Volume (V_f)} - \text{Initial Volume (V_i)}
\]
Let's go through each section step by step.
---
#### Step 1: Identify Initial and Final Volumes
- Initial Volume (\( V_i \)): The water level before the object is added.
- Final Volume (\( V_f \)): The water level after the object is added.
From the image:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 70 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 70 \, \text{mL} - 50 \, \text{mL} = 20 \, \text{mL}
\]
#### Final Answer for Section 1:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 70 mL
- Object's Volume: 20 mL
---
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 60 mL
- Final Volume (\( V_f \)): 85 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 85 \, \text{mL} - 60 \, \text{mL} = 25 \, \text{mL}
\]
#### Final Answer for Section 2:
- Initial Volume (\( V_i \)): 60 mL
- Final Volume (\( V_f \)): 85 mL
- Object's Volume: 25 mL
---
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 40 mL
- Final Volume (\( V_f \)): 60 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 60 \, \text{mL} - 40 \, \text{mL} = 20 \, \text{mL}
\]
#### Final Answer for Section 3:
- Initial Volume (\( V_i \)): 40 mL
- Final Volume (\( V_f \)): 60 mL
- Object's Volume: 20 mL
---
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 75 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 75 \, \text{mL} - 50 \, \text{mL} = 25 \, \text{mL}
\]
#### Final Answer for Section 4:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 75 mL
- Object's Volume: 25 mL
---
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 30 mL
- Final Volume (\( V_f \)): 50 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 50 \, \text{mL} - 30 \, \text{mL} = 20 \, \text{mL}
\]
#### Final Answer for Section 5:
- Initial Volume (\( V_i \)): 30 mL
- Final Volume (\( V_f \)): 50 mL
- Object's Volume: 20 mL
---
1. First Cylinder:
- Initial Volume: 50 mL
- Final Volume: 70 mL
- Object's Volume: 20 mL
2. Second Cylinder:
- Initial Volume: 60 mL
- Final Volume: 85 mL
- Object's Volume: 25 mL
3. Third Cylinder:
- Initial Volume: 40 mL
- Final Volume: 60 mL
- Object's Volume: 20 mL
4. Fourth Cylinder:
- Initial Volume: 50 mL
- Final Volume: 75 mL
- Object's Volume: 25 mL
5. Fifth Cylinder:
- Initial Volume: 30 mL
- Final Volume: 50 mL
- Object's Volume: 20 mL
---
\[
\boxed{
\begin{array}{ccc}
\text{Cylinder} & \text{Object's Volume} \\
\hline
1 & 20 \, \text{mL} \\
2 & 25 \, \text{mL} \\
3 & 20 \, \text{mL} \\
4 & 25 \, \text{mL} \\
5 & 20 \, \text{mL} \\
\end{array}
}
\]
\[
\text{Volume of Object} = \text{Final Volume (V_f)} - \text{Initial Volume (V_i)}
\]
Let's go through each section step by step.
---
Section 1: First Cylinder
#### Step 1: Identify Initial and Final Volumes
- Initial Volume (\( V_i \)): The water level before the object is added.
- Final Volume (\( V_f \)): The water level after the object is added.
From the image:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 70 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 70 \, \text{mL} - 50 \, \text{mL} = 20 \, \text{mL}
\]
#### Final Answer for Section 1:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 70 mL
- Object's Volume: 20 mL
---
Section 2: Second Cylinder
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 60 mL
- Final Volume (\( V_f \)): 85 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 85 \, \text{mL} - 60 \, \text{mL} = 25 \, \text{mL}
\]
#### Final Answer for Section 2:
- Initial Volume (\( V_i \)): 60 mL
- Final Volume (\( V_f \)): 85 mL
- Object's Volume: 25 mL
---
Section 3: Third Cylinder
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 40 mL
- Final Volume (\( V_f \)): 60 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 60 \, \text{mL} - 40 \, \text{mL} = 20 \, \text{mL}
\]
#### Final Answer for Section 3:
- Initial Volume (\( V_i \)): 40 mL
- Final Volume (\( V_f \)): 60 mL
- Object's Volume: 20 mL
---
Section 4: Fourth Cylinder
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 75 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 75 \, \text{mL} - 50 \, \text{mL} = 25 \, \text{mL}
\]
#### Final Answer for Section 4:
- Initial Volume (\( V_i \)): 50 mL
- Final Volume (\( V_f \)): 75 mL
- Object's Volume: 25 mL
---
Section 5: Fifth Cylinder
#### Step 1: Identify Initial and Final Volumes
From the image:
- Initial Volume (\( V_i \)): 30 mL
- Final Volume (\( V_f \)): 50 mL
#### Step 2: Calculate the Volume of the Object
\[
\text{Volume of Object} = V_f - V_i = 50 \, \text{mL} - 30 \, \text{mL} = 20 \, \text{mL}
\]
#### Final Answer for Section 5:
- Initial Volume (\( V_i \)): 30 mL
- Final Volume (\( V_f \)): 50 mL
- Object's Volume: 20 mL
---
Final Summary
1. First Cylinder:
- Initial Volume: 50 mL
- Final Volume: 70 mL
- Object's Volume: 20 mL
2. Second Cylinder:
- Initial Volume: 60 mL
- Final Volume: 85 mL
- Object's Volume: 25 mL
3. Third Cylinder:
- Initial Volume: 40 mL
- Final Volume: 60 mL
- Object's Volume: 20 mL
4. Fourth Cylinder:
- Initial Volume: 50 mL
- Final Volume: 75 mL
- Object's Volume: 25 mL
5. Fifth Cylinder:
- Initial Volume: 30 mL
- Final Volume: 50 mL
- Object's Volume: 20 mL
---
Final Answer
\[
\boxed{
\begin{array}{ccc}
\text{Cylinder} & \text{Object's Volume} \\
\hline
1 & 20 \, \text{mL} \\
2 & 25 \, \text{mL} \\
3 & 20 \, \text{mL} \\
4 & 25 \, \text{mL} \\
5 & 20 \, \text{mL} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of volume by water displacement worksheet.