Advanced Mathematics Primary 6 Volume

A rectangular tank with internal dimensions 40 cm by 25 cm by 30 cm is filled with water to a depth of 24 cm. A solid metal sphere is dropped into the tank and is FULLY submerged. The water level rises by 4.8 cm. Find the volume of the metal sphere, in cm³.

A 12 000
B 4 800
C 960
D 2 880
Show Worked Solution

Worked Solution

Step 1: A fully submerged solid displaces water equal to its OWN volume. Step 2: Volume displaced = (base area of tank) × (rise in water level). Step 3: Volume = 40 × 25 × 4.8 = 1 000 × 4.8 = 4 800 cm³. Answer: 4 800

Correct answer: 4 800

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