John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate…

Analyze the question: The oil takes the shape of a rectangular block (cuboid) inside the container. We know its volume, length and breadth, and we need its height.

Concept: Volume of a cuboid = length × breadth × height, so

height = Volume ÷ (length × breadth)

Solution:

1. Convert litres to cm³. Since 1 litre = 1000 cm³: 96 litres = 96 × 1000 = 96,000 cm³

2. Find the base area: 220 × 40 = 8,800 cm²

3. Find the height: h = 96,000 ÷ 8,800 = 960 ÷ 88 = 10.909... cm

4. Round to the nearest cm: h ≈ 11 cm

Answer: Option A, 11 cm.

Tip: In volume questions, always convert units first. Remember 1 litre = 1000 cm³ and 1 m³ = 1000 litres. Also, you can check an answer quickly by estimating: 8,800 × 11 = 96,800, which is very close to 96,000.