parallélépipède volume


What is the volume of a parallelepiped?

A parallelepiped can be considered as an oblique prism with a parallelogram as base. Hence the volume of a parallelepiped is the product of the base area and the height (see diagram). With The mixed product of three vectors is called triple product. It can be described by a determinant. Hence for the volume is:

How do I work with a parallelepiped formula?

To work with any parallelepiped formula, we need to know what precisely a parallelepiped is. A parallelepiped is a three-dimensional structure constructed by six parallelograms in symmetry. A parallelepiped is identified as three sets of four parallel edges with equally sized edges within each set.

How do you describe a parallelepiped?

A parallelepiped is a polyhedron whose six faces are parallelograms. To describe a parallelepiped, we need its three adjacent sides and their angles, or the three adjacent vectors. Three co-initial vectors in space describe a parallelepiped. vec {c} c – Three vectors that describe the three adjacent (and unique) sides of a parallelepiped.

How do you find the surface area of a parallelepiped?

To calculate the surface area of a parallelepiped formed by the vectors a, b, and c, use the formula A = 2 × (?a × b? + ?b × c? + ?a × c?), where: Alternatively, you can find the surface area from the edge lengths a, b, and c , using the formula A = 2 × (a?b?sin (?) + b?c?sin (?) + a?c?sin (?)), where:

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Parallélisme figure de style Parallelogram paramètre influençant la conductivité paramètre influençant la couleur d'une substance paramètre influencant la viscosité paramètres influençant paramètres influençant l'adsorption paramètres influençant la solubilité

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