Volume of Parallelepiped/Mistake

Source Work

1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables:

Chapter $4$: Geometric Formulas
Parallelepiped of Cross-sectional Area $A$ and Height $h$: $4.28$


2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.):

Chapter $7$: Geometric Formulas
Parallelepiped of Cross-sectional Area $A$ and Height $h$: $7.28.$


Mistake

Volume $= A h = a b c \sin \theta$


Correction

The formula 'Volume $= a b c \sin \theta$ applies only when the base is rectangular.


Sources

  • 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 4$: Geometric Formulas: Parallelepiped of Cross-sectional Area $A$ and Height $h$: $4.28$
  • 2009: Murray R. Spiegel, Seymour Lipschutz and John Liu: Mathematical Handbook of Formulas and Tables (3rd ed.) ... (previous) ... (next): $\S 7$: Geometric Formulas: Parallelepiped of Cross-sectional Area $A$ and Height $h$: $7.28.$
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