Dustbin Volume
1. **State the problem:**
Xavior claims that walking 32 times with a dustbin of given dimensions will fill a pool of 3400 litres.
2. **Given dimensions:**
Height = 70 cm
Length = 0.5 m
Width = 30 cm
3. **Convert all dimensions to the same unit (cm):**
Length = 0.5 m = 50 cm
Height = 70 cm (already in cm)
Width = 30 cm (already in cm)
4. **Calculate the volume of the dustbin in cubic centimeters:**
$$\text{Volume} = \text{length} \times \text{width} \times \text{height} = 50 \times 30 \times 70 = 105000 \text{ cm}^3$$
5. **Convert volume from cubic centimeters to litres:**
Since 1 litre = 1000 cm³,
$$\text{Volume in litres} = \frac{105000}{1000} = 105 \text{ litres}$$
6. **Calculate total volume carried in 32 trips:**
$$32 \times 105 = 3360 \text{ litres}$$
7. **Compare total volume with pool volume:**
Pool volume = 3400 litres
Total volume carried = 3360 litres
8. **Conclusion:**
3360 litres is slightly less than 3400 litres, so Xavior's statement is approximately valid but slightly underestimated.
Therefore, walking 32 times with the dustbin will almost fill the pool of 3400 litres.