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Triple Product Volume of a Parallelepiped Calculator

V = |a · (b × c)| from three edge vectors.

Compute the volume of a parallelepiped formed by three edge vectors a, b, c using the scalar triple product: V = |a · (b × c)| = |det([a; b; c])|. Equals the absolute value of the determinant of the 3 × 3 matrix whose rows are the three vectors.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

V = |a · (b × c)|.

In depth

Compute the volume of a parallelepiped formed by three edge vectors a, b, c using the scalar triple product: V = |a · (b × c)| = |det([a; b; c])|. Equals the absolute value of the determinant of the 3 × 3 matrix whose rows are the three vectors.