A hexagonal prism is a 6 sided polygon v the base and top in the shape of a hexagon. In our day-to-day life, us come throughout various hexagonal prism examples such together pencils, nuts, gift boxes, buildings, etc. It has 8 faces, 12 vertices, and 18 edges. Us see assorted prism-shaped examples however not all are hexagonal prism. Let united state learn more about a hexagonal prism in this article.
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|1.||What is a Hexagonal Prism?|
|2.||Properties the a Hexagonal Prism|
|3.||Net that a Hexagonal Prism|
|4.||Surface Area that a Hexagonal Prism|
|5.||Volume the a Hexagonal Prism|
|6.||FAQs ~ above Hexagonal Prism|
A hexagonal prism is a 3D-shaped prism that has two parallel ends v the exact same size and also shape referred to as bases. The hexagonal prism has actually 6 sides recognized as faces, which space in the shape of parallelograms. Through definition, a hexagonal prism is a prism through two bases that room in the shape of hexagons and also 6 deals with that are in the shape of rectangles. There are 2 different types of hexagonal prism i.e. Regular hexagonal prisms and irregular hexagonal prisms. A regular hexagonal prism is a prism v bases shaped like a hexagon through all the political parties of the same size (or made up of a continuous hexagon). Whereas, an rarely often rare hexagonal prism is a prism where the political parties of the hexagon bases carry out not have actually the exact same lengths. The angle of the consistent hexagonal prism are the same, whereas, in an irregular prism the angles room not the same.
Hexagonal Prism Definition
A hexagonal prism is a polyhedron through 8 faces, 18 edges, and also 12 vertices wherein out that the 8 faces, 6 encounters are in the shape of rectangles and also 2 deals with are in the shape of hexagons. The top and also bottom that the hexagonal prism is shaped together a hexagon and are equal to each other. In the hexagonal prism, the long diagonals constantly cross the center point of the hexagon beginning from the vertex of the basic whereas the quick diagonals carry out not cross the center point as the diagonal line is from one vertex of the base to the other.
A hexagonal prism is a prism with two hexagon-shaped bases and also six rectangle-shaped faces. The properties of a hexagonal prism are:It has actually 8 faces, 18 edges, and also 12 verticesThe top and bottom bases space equal to each other in lengthThe diagonals cross the center point of a constant hexagonal prism
A hexagonal prism have the right to be created using a net. As soon as the thing is opened up flat, the network of the hexagonal prism reflects the faces of the form clearly. As soon as the hexagonal prism is folded, the 3D version of the prism is seen. There can be multiple nets feasible for a shape, listed below given is one of the nets that a hexagonal prism.
The surface area is the sum of the surface ar of the 3D object altogether. Hence, the surface area that the hexagonal prism is the combination of both the length of the base and also the elevation of the hexagonal prism. Therefore,
Surface Area that Hexagonal Prism = 6ah + 3√3a2 square units, whereby a is the base length and h is the height.
The volume of a hexagonal prism is uncovered by taking the area that the base together with the height and length. Therefore the formula come finding the volume is:
Volume of a Hexagonal Prism = <(3√3)/2>a2h cubic units, wherein a is the base length and also h is the height of the prism
Hexagonal Prism connected Topics
Listed listed below are a couple of interesting topics regarded the hexagonal prism, examine it out!
Example 1: discover the volume the a hexagonal prism through a basic edge size of 5 units and also a height of 10 units.
Solution: Given, a = 5 and h = 10, whereby a is the basic length and also h is the height of the hexagonal prism.
Hexagonal Prism Volume = <(3√3)/2>a2h
Volume = <(3√3)/2> × 52 × 10
Volume = <(3√3)/2> × 250
Volume = 649.51 cubic units
Therefore, the volume of the hexagonal prism is 649.51 cubic units.
Example 2: uncover the surface ar area that a hexagonal prism through the base edge together 5 units and also height together 10 units.
Solution: Given a = 5 and also h = 10, whereby a is the basic length and h is the elevation of the hexagonal prism.
Surface Area the Hexagonal Prism = 6ah + 3√3a2
Area = 6 × 5 × 10 + 3√3 × (5)2
Area = 300 + 129.9
Area = 429.9 square units
Therefore, the surface area that the hexagonal prism is 429.9 square units.
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