An empty rectangular tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank. Calculate the height of the water

Analyze the question: We need the height of water in a rectangular tank when 180 litres is poured in. The base is 250 cm by 120 cm.

Concept: Volume of a cuboid = length × width × height. Also, 1 litre = 1000 cm³.

Solution:

1. Convert the volume to cm³: 180 litres = 180 × 1000 = 180,000 cm³

2. Find the base area: 250 × 120 = 30,000 cm²

3. Find the height: h = Volume ÷ Base area = 180,000 ÷ 30,000 = 6 cm

Check: 250 × 120 × 6 = 180,000 cm³ = 180 litres ✓

Answer: The height of the water is 6.0 cm, which is option A.

Tip: In volume and capacity questions, convert units first: 1 litre = 1000 cm³, and 1 m³ = 1000 litres. Many students lose marks by forgetting this step.