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An aquarium is completely filled with water. It has the following dimensions: Length 120 cm, Breath 90 cm and Height 60 cm. Water was poured out of the aquarium until the height was 20cm. How many liter of water remained in the aquarium (Note: 1 L =1000)

To solve the problem of calculating the perimeter of the compound shape with shaded squares, we can follow these steps:

1. **Determine the side length of each square:**
   - Each shaded square has an area of 9 cm².
   - The side length of each square is \( \sqrt{9 \text{ cm}^2} = 3 \text{ cm} \).

2. **Count the number of shaded squares:**
   - There are 9 shaded squares in a 3x3 formation.

3. **Calculate the perimeter:**
   - Since the shaded squares form a single block of 3x3 squares, we need to count the outer edges only once.
   - The side length of the outer shape is 3 squares each of 3 cm, so the length of one side of the block is \( 3 \times 3 \text{ cm} = 9 \text{ cm} \).
   - The shape is a square of side 9 cm.

4. **Perimeter of the square:**
   - The perimeter \( P \) of a square is given by \( P = 4 \times \text{side length} \).
   - Therefore, the perimeter of the shape is \( 4 \times 9 \text{ cm} = 36 \text{ cm} \).

So, the perimeter of the compound shape is 36 cm.

Would you like more details or have any questions? Here are some related questions to further expand your understanding:

1. How do you find the area of a square if you only know its perimeter?
2. What is the perimeter of a rectangle if you know the length and width?
3. How does changing the side length of a square affect its area and perimeter?
4. What is the formula for the area of a compound shape composed of multiple squares?
5. How do you calculate the perimeter of irregular shapes?
6. What is the difference between perimeter and area?
7. Can two different shapes have the same perimeter but different areas? Explain with examples.
8. How would you find the area and perimeter of a shape that is not composed of regular geometric figures?

**Tip:** Always double-check your calculations for any geometric problem by verifying the dimensions and units used.

Learn how to calculate the remaining water in an aquarium after pouring out to a specified height. Understand the concepts of volume for a rectangular prism and unit conversion. Suitable for Grades 7-9.

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