A wooden storage cuboid at a Tampines hawker stall measures 12 cm by 8 cm by 6 cm. The owner orders a larger cuboid that has 1.5 times the volume of the first one. If the base of the larger cuboid is 16 cm by 9 cm, what is its height?
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Worked Solution
Step 1: Find the volume of the first cuboid. V₁ = 12 × 8 × 6 = 576 cm³.
Step 2: Find the volume of the larger cuboid. V₂ = 1.5 × 576 = 864 cm³.
Step 3: Find the base area of the larger cuboid. Base area = 16 × 9 = 144 cm².
Step 4: Find the height of the larger cuboid. Height = V₂ ÷ base area = 864 ÷ 144 = 6 cm.
Check (reverse): 16 × 9 × 6 = 864 ✓ and 864 ÷ 1.5 = 576 ✓.
Final answer: 6 cm.
Answer: 6 cm
Correct answer: 6 cm
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