Volume Worksheets - Free Printable

Problem Analysis:

The task involves analyzing the volumes of liquids in graduated cylinders and determining the volumes of different objects based on displacement. Here's a step-by-step breakdown:

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#### Part 1: Determining Liquid Volumes in Graduated Cylinders
The first part of the worksheet asks to determine how much liquid is in each graduated cylinder. The answers are provided in the "Answer Key" column on the right.

- Graduated Cylinder 1: The liquid level is at 22 mL.
- Graduated Cylinder 2: The liquid level is at 18 mL.
- Graduated Cylinder 3: The liquid level is at 30 mL.
- Graduated Cylinder 4: The liquid level is at 11 mL.
- Graduated Cylinder 5: The liquid level is at 25 mL.
- Graduated Cylinder 6: The liquid level is at 19 mL.
- Graduated Cylinder 7: The liquid level is at 26 mL.
- Graduated Cylinder 8: The liquid level is at 31 mL.

These values are directly read from the markings on the graduated cylinders.

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#### Part 2: Object Displacement in Graduated Cylinder 1
The second part of the worksheet involves four objects (A, B, C, and D) being placed one at a time into an initially empty graduated cylinder. The volume of water displaced by each object corresponds to the object's volume.

1. Initial Volume (Empty Cylinder): The water level is at 10 mL.
2. Object A: When placed in the cylinder, the water level rises to 15 mL.
- Volume of Object A: \( 15 \, \text{mL} - 10 \, \text{mL} = 5 \, \text{mL} \).
3. Object B: When placed in the cylinder, the water level rises to 20 mL.
- Volume of Object B: \( 20 \, \text{mL} - 10 \, \text{mL} = 10 \, \text{mL} \).
4. Object C: When placed in the cylinder, the water level rises to 18 mL.
- Volume of Object C: \( 18 \, \text{mL} - 10 \, \text{mL} = 8 \, \text{mL} \).
5. Object D: When placed in the cylinder, the water level rises to 16 mL.
- Volume of Object D: \( 16 \, \text{mL} - 10 \, \text{mL} = 6 \, \text{mL} \).

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#### Part 3: Answering Questions 9 and 10
Using the calculated volumes of the objects:
- Volume of Object A: 5 mL
- Volume of Object B: 10 mL
- Volume of Object C: 8 mL
- Volume of Object D: 6 mL

9. Which object had the greatest volume?
- The object with the greatest volume is Object B (10 mL).

10. Which object had the least volume?
- The object with the least volume is Object A (5 mL).

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Final Answers:

\[
\boxed{B, A}
\]

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Explanation:

- Displacement Method: The volume of an object can be determined by measuring the amount of liquid it displaces when submerged in water. This principle is used here to find the volumes of objects A, B, C, and D.
- Reading Graduated Cylinders: Each cylinder has markings that indicate the volume of liquid. Careful observation of these markings is crucial for accurate readings.
- Comparison: By comparing the volumes of the objects, we can identify which one has the greatest and least volume.

This approach ensures accuracy and aligns with the principles of measurement and displacement commonly taught in science labs.