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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 determine the amount of water remaining in the aquarium, we need to calculate the volume of water still in the aquarium after some has been poured out.

The initial dimensions of the aquarium are:
- Length: 120 cm
- Width: 90 cm
- Height: 60 cm

When water is poured out, the remaining height of the water is 20 cm.

We can find the volume of the remaining water using the following formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Substitute the dimensions:
\[ \text{Volume} = 120 \, \text{cm} \times 90 \, \text{cm} \times 20 \, \text{cm} \]

First, calculate the volume in cubic centimeters (cm³):
\[ \text{Volume} = 120 \times 90 \times 20 = 216,000 \, \text{cm}^3 \]

Since \(1 \, \text{liter} = 1000 \, \text{cm}^3\), we convert the volume from cubic centimeters to liters:
\[ \text{Volume in liters} = \frac{216,000 \, \text{cm}^3}{1000} = 216 \, \text{liters} \]

Therefore, the amount of water remaining in the aquarium is **216 liters**.

Do you want details or have any questions? Here are some related questions you might find interesting:

1. How do you convert cubic centimeters to liters?
2. What is the formula for the volume of a rectangular prism?
3. If the width of the aquarium was changed, how would that affect the volume calculation?
4. What is the significance of the unit conversion in this problem?
5. How would you calculate the volume of water if the aquarium had a different shape?
6. Can you explain the relationship between volume and capacity?
7. What are some practical applications of calculating the volume of liquids?
8. How does understanding volume help in real-life scenarios?

**Tip:** When dealing with volume calculations, always ensure that all measurements are in the same units before performing any calculations.

Learn how to calculate the volume of water remaining in an aquarium after some has been poured out. This problem involves calculating the volume of a rectangular prism using its dimensions and unit conversion from cubic centimeters to liters. Suitable for students in Grades 7-9.

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