HOTS Mathematics Primary 5 Volume of Liquid

A rectangular container is 30 cm long, 20 cm wide, and 25 cm high. It is 60% full of water. Mei Ling pours in another 1.5 litres of water. What is the new height of the water in the container? (1 litre = 1000 cm³)

A 17.5 cm
B 15 cm
C 14 cm
D 21 cm
Show Worked Solution

Worked Solution

Step 1: Find the current volume of water. 60% of (30 × 20 × 25) = 0.6 × 15 000 = 9 000 cm³ Step 2: Convert 1.5 litres to cm³. 1.5 × 1000 = 1 500 cm³ Step 3: Total volume of water. 9 000 + 1 500 = 10 500 cm³ Step 4: Find the new water height. Base area = 30 × 20 = 600 cm² Height = 10 500 ÷ 600 = 17.5 cm

Correct answer: 17.5 cm

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