Advanced Mathematics Primary 5 Volume of Liquid

A tap fills an empty rectangular tank at a rate of 8 litres per minute. The tank measures 60 cm long, 50 cm wide and 40 cm tall. How long will the tap take to fill the tank completely? (1 litre = 1 000 cm³)

A 15 minutes
B 20 minutes
C 12 minutes
D 15 000 minutes
Show Worked Solution

Worked Solution

Step 1: Find the volume of the tank in cm³. 60 × 50 × 40 = 120 000 cm³ Step 2: Convert cm³ to litres. 120 000 ÷ 1 000 = 120 litres Step 3: Find the time to fill the tank. Time = volume ÷ flow rate = 120 ÷ 8 = 15 minutes The tap will take 15 minutes to fill the tank completely.

Correct answer: 15 minutes

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