![]() TO base is the area of the irregular hexagonal base.Įach hexagonal face has 6 corners or vertices, giving a total of 12 vertices for the hexagonal prism. If the bases are irregular hexagons, the area is calculated by: Irregular and straight hexagonal prism area Where to is side of the hexagon and h is the height of the prism. If the hexagonal prism has the bases in the form of regular hexagons and the lateral edges are perpendicular to these bases, its area is given by the sum: Regular and straight hexagonal prism area It is the sum of the areas of the bases –two hexagons- and those of the faces -6 rectangles or parallelograms. Yes to is the base and h is the height, the area is: There is no specific formula, as it depends on the arrangement of the sides, but the hexagon can be divided into triangles, calculate the area of each, and add them.Īnother method to find the area is the Gaussian determinants, for which it is required to know the coordinates of the vertices of the hexagon. The area is given by:ĭepending on the size of the side to, the area can also be calculated by: Let's call the area A and L TO to the length of the apothem. If the hexagon is regular with side to, there is a formula for the perimeter P: It is the measure of its contour, which in the case of a polygon such as a hexagon is the sum of its sides. The areas of the regular hexagon, the irregular hexagon and the parallelogram, as well as the perimeters, are useful. They are used to calculate the area of its bases and lateral faces, its volume and other important characteristics. There are numerous formulas related to the hexagonal prism. With the help of these elements, areas and volumes are calculated, as we will see later. – Apothem: is the segment that goes from the center of the hexagonal face to the middle of one of the sides. – Radio: is the distance measured from the center of the hexagon and any vertex. If the bases of the prism are regular, the symmetry of the figure allows to define additional elements typical of the regular hexagon with side to. – Vertex: common point between a base and two lateral faces. Matches the length of the edge in the case of the right prism. – Height: is the distance between the two faces of the prism. – Edge: is the segment that joins two bases or two sides of the prism. However, the faces of the hexagonal prism can be irregular hexagons. In both figures, the hexagons of the bases are regular, that is, their sides and internal angles are equal. ![]() In the figure below two hexagonal prisms are shown, the one on the left has rectangular lateral faces and is a straight hexagonal prism, while the one on the right, tilted, has parallelogram-shaped faces and is a oblique hexagonal prism. From them, areas and volumes can be calculated. The elements of a hexagonal prism are the base, face, edge, height, vertex, radius, and apothem. It can be found in nature, in the crystal structure of minerals such as beryllium, graphite, zinc and lithium, for example.
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