Volume of Parallelepiped

Theorem

Let $P$ be a parallelepiped.

The volume $V_P$ of $P$ is given by:

$V_P = A h$

where:

$A$ is the area of the base of $P$
$h$ is the height of $P$.


Proof


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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 $h$: $4.28$
  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): parallelepiped
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): parallelepiped
  • 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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