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Cubical Expansion

المؤلف:  GEORGE A. HOADLEY

المصدر:  ESSENTIALS OF PHYSICS

الجزء والصفحة:  p-261

2025-12-27

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Cubical Expansion- When a solid body expands, it expands in all directions. If the form of the body is a cube and the length of each edge at zero temperature is 1, the length after expansion will be L' = 1 + Kt.

The volume at t will be (1 + Kt)3 = 1 + 3 Kt + 3 K²t² + K³t³ Since K is an extremely small fraction, as is seen from the table, the second and third powers of K are fractions so small that the terms 3 K²t² and K³f³ can be neglected, and the volume is considered equal to  1+3Kt.

Hence the coefficient of cubical expansion, or the fraction of its volume at zero temperature that a body expands on being heated 1° C., is considered to be three times the coefficient of linear expansion.

The coefficient of cubical expansion of ice is 0.000192; compare this with its linear expansion.