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Similar figures: ratios of area and volume
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Learn it If two similar figures have lengths in the ratio k, their areas are in the ratio k² and their volumes in the ratio k³.
Example: Two similar cylinders have heights 4 cm and 12 cm. The small one holds 50 mL.
- k = 12 ÷ 4 = 3.
- Volume ratio k³ = 27, so the large one holds 50 × 27 = 1350 mL.
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