Area Of A Hexagonal Prism
In geometry, a prism is a solid shape consisting of two identical ends such equally triangle, foursquare, rectangle, etc., flat faces or surfaces, and uniform cross-sections across its length. The shape of the prism does not have any curve. If the cross-section looks similar a rectangle, it is called a rectangular prism. Similarly, if the base of a prism is of a hexagon shape, information technology is called a hexagonal prism. Therefore, a prism can take triangular, square, rectangular, pentagonal and other polygon shapes as bases but not circular shapes.
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What is Hexagonal Prism?
A hexagonal prism is a prism with a hexagonal base of operations and meridian. It is a 3D shape and thus, is a polyhedron with viii faces, eighteen edges, and 12 vertices. As it has 8 faces, it is also chosen an octahedron. Mostly, the term octahedron is used to define a regular octahedron, which has 8 triangular faces. We can detect that many things which we utilize every day take the shape of a hexagonal prism. For example, many pencils have the form of a long hexagonal prism before being sharpened.
Hexagonal Prism 3D Shape
The hexagonal prism contains 2 hexagons (one is the base and the other on the top) and 6 rectangles connecting the hexagonal faces. The shape of a hexagonal prism is given below:
Hexagonal Prism – Faces, Edges and Vertices
As mentioned to a higher place, a hexagonal prism has 2 hexagonal and half-dozen rectangular faces. From this, we can run across that it has 8 faces, 18 edges and 12 vertices. These are shown in the below figure.
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Hexagonal Prism Net
When the object is opened flat, the net of the shape will exist formed. Similarly, we can create a net of the hexagonal prism that conspicuously shows the shape'due south faces. Once the net of the hexagonal prism is folded, the 3D version of the prism volition announced. Multiple nets are possible for any 3D shape, and the below figure shows two nets of hexagonal prism amongst the many possible patterns.
Hexagonal Prism Formula
The formula of a hexagonal prism includes surface area and volume. The surface surface area of this can be calculated by considering the base area and lateral surface area.
Base of operations Area of Hexagonal Prism
We know that area of hexagon = 3 × side × apothem
From the to a higher place figure,
Side of the hexagonal base = b
Apothem = a
Thus, the base surface area of hexagonal prism = 3ab
Hexagonal Prism Surface Area
Total surface area (Surface area) of hexagonal prism = 2 × Base of operations surface area + Lateral surface area
= ii(3ab) + vi × Area of 6 rectangle whose dimensions are b and h
= 6ab + 6bh
Therefore, the area of hexagonal prism = 6ab + 6bh
Hexagonal Prism Volume
Volume of hexagonal prism = Base of operations surface area × Height
= 3ab × h
Hence, the book of hexagonal prism = 3abh
However, these formulas tin exist written in a different way without using the length of the apothem.
| Base of operations area | Surface area | Book |
| (iii√3/2) × southward2 Here, s = Side of hexagonal base | 6sh + iii√3 s2 Here, s = Side of hexagonal base h = Meridian | (iii√3/2) × stwoh Here, s = Side of hexagonal base h = Superlative |
Ofttimes Asked Questions on Hexagonal Prism
How many sides does a hexagonal prism have?
A hexagonal prism has eighteen sides, i.e. 18 edges.
What is the base of a hexagonal prism?
The base of a hexagonal prism is the hexagon, a vi sided polygon.
How many hexagons are there in a hexagonal prism?
As we know, the base of operations and elevation of a hexagonal prism are hexagons, and thus, it has ii hexagons.
How many faces does hexagonal prism have?
A hexagonal prism contains a total of 8 faces, out of which 6 are rectangular and 2 are hexagonal faces.
How many right angles does a hexagonal prism have?
If the hexagonal bases of a hexagonal prism don't have any right angles, then information technology will accept 24 right angles through the vertices of rectangular faces. Each rectangular confront contains four correct angles so the 6 rectangular faces course 24 right angles.
Area Of A Hexagonal Prism,
Source: https://byjus.com/maths/hexagonal-prism/
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