An ice supplier at Tekka Market has 3 identical ice cubes, each with a side length of 12 cm. All 3 ice cubes are melted together and the water is poured into a rectangular tray measuring 32 cm long and 27 cm wide. The water fills the tray completely to the brim. What is the height of the tray?
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Worked Solution
Step 1: Find the volume of one ice cube:
12² = 12 × 12 = 144
Volume = 144 × 12 = 1728 cm³
Step 2: Find the total volume of 3 melted ice cubes:
Total volume = 1728 × 3 = 5184 cm³
Step 3: Find the base area of the rectangular tray:
Base area = 32 × 27 = 864 cm²
Step 4: Find the height of the tray:
Height = 5184 ÷ 864 = 6 cm
Correct answer: 6 cm
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