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Calculate The Volume of A Triangular Prism

Last updated: Saturday, June 24, 2023
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A triangular prism is a three-dimensional geometric figure formed by two congruent parallel triangular bases and three rectangular faces connecting their corresponding vertices. This polyhedron has a distinctive elongated shape, with the two triangular bases remaining parallel and fixed in relation to each other while their size and orientation may vary.

Triangular prisms can be found in a variety of real-world objects and applications. Architecturally, roof trusses are often designed in the shape of triangular prisms for their strength and stability. In optics, triangular prisms are used to disperse light into its spectral components, creating rainbows or splitting light into different colors for scientific purposes. Additionally, triangular prism-shaped tents provide efficient use of space and improved wind resistance for outdoor enthusiasts and campers.

Easily calculate the volume of a triangular prism with step-by-step guidance using our free calculator below.

The formula for determining the volume of a triangular prism is defined as:
\(V\) \(=\) \(\dfrac{1}{2} \cdot b \cdot h \cdot l\)
\(V\): the volume of the prism
\(b\): the length of the base of the triangular face
\(h\): the height of the triangular face
\(l\): the length of the prism
The SI unit of volume is: \(cubic \text{ } meter\text{ }(m^3)\)

Find \(V\)

Use this calculator to determine the volume of a triangular prism when the height and the base of the triangular face are given.
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the length of the base of the triangular face
\(b\)
\(meter\)
the height of the triangular face
\(h\)
\(meter\)
the length of the prism
\(l\)
\(meter\)
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