Question

Find the capacity in liter of a tank 0.6m long 10cm wide and 50mm deep

Answer 1

To find the capacity of the tank in liters, we first need to calculate its volume in cubic meters, and then convert that volume to liters.

1. **Convert all dimensions to meters:**
- Length = 0.6 m (already in meters)
- Width = 10 cm = 0.1 m (since 100 cm = 1 m)
- Depth = 50 mm = 0.05 m (since 1000 mm = 1 m)

2. **Calculate the volume in cubic meters:**
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Depth}
\]
\[
\text{Volume} = 0.6 \, \text{m} \times 0.1 \, \text{m} \times 0.05 \, \text{m}
\]
\[
\text{Volume} = 0.0003 \, \text{m}^3
\]

3. **Convert cubic meters to liters:**
Since 1 cubic meter is equal to 1000 liters:
\[
\text{Volume in liters} = 0.0003 \, \text{m}^3 \times 1000 \, \text{L/m}^3
\]
\[
\text{Volume in liters} = 0.3 \, \text{L}
\]

Thus, the capacity of the tank is **0.3 liters**.