A rectangular tank with internal dimensions 25 cm by 20 cm by 30 cm contains water to a depth of 14 cm. A solid metal cube of side 10 cm is placed into the tank and is FULLY submerged. Find the new water depth in the tank.
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Worked Solution
Step 1: Find the original volume of water.
V_water = 25 × 20 × 14 = 7 000 cm³.
Step 2: Find the volume of the cube (which equals the volume of water displaced).
V_cube = 10 × 10 × 10 = 1 000 cm³.
Step 3: Find the combined volume in the tank after the cube is submerged.
V_total = 7 000 + 1 000 = 8 000 cm³.
Step 4: Divide by the tank's base area to get the new depth.
Base area = 25 × 20 = 500 cm². New depth = 8 000 ÷ 500 = 16 cm.
Answer: 16 cm
Correct answer: 16 cm
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