What is the capacity of a tank 0.8 m long 10 cm wide and 50 mm deep ?

Explanation

To find the capacity of the tank, we need to calculate its volume using the formula for the volume of a rectangular prism, which is:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \]

### Step 1: Convert all dimensions to meters
1. **Length**: Given as 0.8 m (already in meters).
2. **Width**: Given as 10 cm. To convert to meters:
\[ \text{Width} = 10 \text{ cm} \times \frac{1 \text{ m}}{100 \text{ cm}} = 0.1 \text{ m} \]
3. **Depth**: Given as 50 mm. To convert to meters:
\[ \text{Depth} = 50 \text{ mm} \times \frac{1 \text{ m}}{1000 \text{ mm}} = 0.05 \text{ m} \]

### Step 2: Calculate the volume
Now, substituting the values into the volume formula:
\[ \text{Volume} = 0.8 \text{ m} \times 0.1 \text{ m} \times 0.05 \text{ m} \]
Calculating this step-by-step:
- First, calculate \(0.8 \times 0.1 = 0.08\)
- Then, calculate \(0.08 \times 0.05 = 0.004\)

So, the volume of the tank is:
\[ \text{Volume} = 0.004 \text{ m}^3 \]

### Step 3: Convert volume from cubic meters to liters
We know that:
\[ 1 \text{ m}^3 = 1000 \text{ liters} \]
To convert \(0.004 \text{ m}^3\) to liters:
\[ \text{Volume in liters} = 0.004 \text{ m}^3 \times 1000 \text{ liters/m}^3 = 4 \text{ liters} \]

### Final Answer
The capacity of the tank is **4 liters**.

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