The aquarium is 0.7 m long, 0.5 m wide and 0.4 m high. How many litres of water are in the aquarium if the water reaches 8 cm below the edge of the aquarium?

To solve this problem, we need to determine the volume of water in the aquarium. Here's the process:

### Step 1: Aquarium's total height and effective height of water
The aquarium's total height is \( 0.4 \, \text{m} \). Since the water reaches 8 cm below the edge, the height of the water is:
\[
0.4 \, \text{m} - 0.08 \, \text{m} = 0.32 \, \text{m}
\]

### Step 2: Calculate the volume of the water
The formula for the volume of a rectangular prism is:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
Here, the dimensions are:
- Length \( = 0.7 \, \text{m} \)
- Width \( = 0.5 \, \text{m} \)
- Water Height \( = 0.32 \, \text{m} \)

\[
\text{Volume of water} = 0.7 \, \text{m} \times 0.5 \, \text{m} \times 0.32 \, \text{m} = 0.112 \, \text{m}^3
\]

### Step 3: Convert cubic meters to liters
Since \( 1 \, \text{m}^3 = 1000 \, \text{liters} \), the volume of water in liters is:
\[
0.112 \, \text{m}^3 \times 1000 = 112 \, \text{liters}
\]

### Final Answer:
The aquarium contains **112 liters** of water.

Would you like further clarification, or have any questions?

Here are 5 related questions:
1. How much water would the aquarium hold if it were filled to the top?
2. What is the surface area of the water in the aquarium?
3. If the aquarium were half-filled, how many liters of water would it contain?
4. How many liters of water are needed to fill the aquarium to 50% of its total height?
5. What would be the water height if the aquarium had 150 liters of water?

**Tip**: When calculating volume, always ensure that all measurements are in the same unit system for accuracy.

Learn how to calculate the volume of water in an aquarium that is 0.7 m long, 0.5 m wide, and 0.4 m high, when the water reaches 8 cm below the top. This problem involves calculating the volume of a rectangular prism and converting cubic meters to liters. Suitable for students in Grades 5-7.

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