A rectangular tank measures 20 cm long, 15 cm wide, and 12 cm high. It contains water to a height of 8 cm. A solid metal block measuring 5 cm by 6 cm by 4 cm is placed completely underwater in the tank. What is the new height of the water?
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Worked Solution
Step 1: Find the original water volume.
20 × 15 × 8 = 2 400 cm³
Step 2: Find the volume of the metal block.
5 × 6 × 4 = 120 cm³
Step 3: Total volume after placing the block.
2 400 + 120 = 2 520 cm³
Step 4: Find the new water height.
Base area = 20 × 15 = 300 cm²
New height = 2 520 ÷ 300 = 8.4 cm
Correct answer: 8.4 cm
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