Right Wedge Calculator

Name: Right Wedge - Geometry Calculator
Author: Jürgen Kummer

Calculations at a right wedge. This is a special case of prism and is also called right triangular prism. A right wedge is a wedge with parallel isosceles side triangles.
Enter the three lengths a, b and c and choose the number of decimal places. Then click Calculate.

Formulas:

h = \sqrt{\frac{4 \cdot c^{2} - b^{2}}{4}}

A = a b + 2 a c + h b

V = \frac{a b h}{2}

Lengths and height have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit ^-1.

The right wedge or right triangular prism consists of a rectangle with sides a and b, which forms the base, two rectangles with sides a and c, which form the oblique sides, and two isosceles triangles with base b and legs c, which form the straight sides. The height of the wedge is the height of the isosceles triangles. This shape is mirror-symmetrical about two planes of symmetry. One plane of symmetry passes centrally and perpendicularly through the three edges of length a, the other plane of symmetry passes through the two heights of the isosceles triangles and thus also through every height line of the wedge. The right wedge is also rotationally symmetrical when rotated by 180 degrees and multiples thereof around the height line through the middle of the upper edge of length a.

Shapes consisting of three adjacent quadrilaterals and two opposite triangles can be seen as wedges. If the isosceles triangles are not straight but slope inward, then this shape is referred to simply as a wedge. A half-tetrahedron is also a specific type of wedge, in which the triangles slope outward. A wedge with right triangles as straight sides instead of isosceles triangles is a ramp.

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