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s2.1.10

Conversion between Distance → Area, Volume

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When converting between units of distance, area, and volume, it's crucial to remember to square or cube the linear conversion factor. If a linear conversion is 1 unit A=k units B1 \text{ unit A} = k \text{ units B}, then for area it's 1 unit A2=k2 units B21 \text{ unit A}^2 = k^2 \text{ units B}^2, and for volume it's 1 unit A3=k3 units B31 \text{ unit A}^3 = k^3 \text{ units B}^3.

For example, since 1 ft = 12 in, then 1 ft³ = 12³ in³ = 1728 in³.

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