Volume displacement worksheet - Free Printable

Problem Analysis:

The image shows two cylindrical containers filled with water. The first container represents the initial level of water, and the second container represents the final level after a purple cube is submerged in the water. The task is to determine:
1. The initial level of water.
2. The final level of water.
3. The volume of the purple cube.

Step-by-Step Solution:

#### 1. Initial Level of Water:
- In the left container (labeled "Initial Level"), the water level is clearly marked on the scale.
- The water level is at the 10 mL mark.
- Therefore, the initial level of water is 10 mL.

#### 2. Final Level of Water:
- In the right container (labeled "Final Level"), the water level has risen due to the submerged purple cube.
- The new water level is clearly marked on the scale.
- The water level is at the 20 mL mark.
- Therefore, the final level of water is 20 mL.

#### 3. Volume of the Purple Cube:
- When an object is submerged in water, it displaces an amount of water equal to its own volume. This displacement causes the water level to rise.
- The increase in water level from the initial to the final state indicates the volume of the submerged object.
- The initial water level was 10 mL, and the final water level is 20 mL.
- The difference in water levels is:
\[
\text{Volume of the cube} = \text{Final level} - \text{Initial level}
\]
\[
\text{Volume of the cube} = 20 \, \text{mL} - 10 \, \text{mL} = 10 \, \text{mL}
\]

Final Answers:

- Initial Level: \( \boxed{10} \)
- Final Level: \( \boxed{20} \)
- Volume of the Cube: \( \boxed{10} \)

Explanation:

The principle used here is the Archimedes' Principle, which states that the volume of water displaced by an object is equal to the volume of the object itself. By measuring the change in water level before and after submerging the cube, we can directly determine the volume of the cube.

Thus, the solution is complete, and the answers are boxed as requested.