A hexagonal pyramid is a various kind that pyramid the exists. A hexagonal pyramid has actually the base in the form of a hexagon together with isosceles triangles together the faces that combine the pyramid together at the apex. Let united state learn more about the ide of a hexagonal pyramid in this article.
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|1.||Hexagonal Pyramid Definition|
|2.||Hexagonal Pyramid Properties|
|3.||Volume of a Hexagonal Pyramid|
|4.||Surface Area that a Hexagonal Pyramid|
|5.||Hexagonal Pyramid Net|
|6.||FAQs ~ above Hexagonal Pyramid|
A hexagonal pyramid is a 3D shaped pyramid that has actually the basic shaped like a hexagon along with the political parties or deals with in the shape of isosceles triangles that kind the hexagonal pyramid in ~ the apex or the top of the pyramid. A hexagonal pyramid has actually a base v 6 sides along with 6 isosceles triangle lateral faces. The various other name for a hexagonal pyramid is Heptahedron. A hexagonal pyramid consists of 7 faces, 12 edges, and also 7 vertices. An image of a hexagonal pyramid is given listed below for her reference.
Hexagonal Pyramid Properties
Just like any type of other pyramid, a hexagonal pyramid also has distinct properties that identify it native the other pyramids. Let's see what space those properties:There are 7 vertices in total in a hexagonal pyramid where 6 is at the basic of the pyramid and one in ~ the topIn total, a hexagonal pyramid has 7 faces, one for each next of the triangle along with one base
Volume that Hexagonal Pyramid
To calculation the volume that a hexagonal pyramid, we need to understand three significant aspects of the hexagonal pyramid i.e. The apothem i m sorry is measured from the facility of the base to any point on the side of the base, second is the size of the base, and third is the elevation which is the height of the pyramid indigenous the apex to the base. Hence, the formula to calculate the hexagonal pyramid volume is:
Volume that Hexagonal Pyramid = (abh) cubic units
Where,a is the apothem of the pyramidb is the baseh is the height
When the apothem the the hexagonal pyramid is no mentioned and when the triangles are equilateral triangles, we have the right to use another different formula which is:
Volume the hexagonal Pyramid = (√3/2) × a2 × h cubic units, whereby a is the side of the base and also h is the elevation of the hexagonal pyramid
Surface Area the a Hexagonal Pyramid
Before us calculate the surface area the a hexagonal pyramid, we likewise need to recognize its base. The surface area that the hexagonal pyramid can be calculated once we have actually the slant height of the pyramid i m sorry is the height from the apex to any allude on the boundary of the base of the pyramid. Hence, let united state see both the formula that the hexagonal pyramid - basic area and also surface area.
Base Area the Hexagonal Pyramid = 3ab square units
Surface Area of Hexagonal Pyramid = (3ab + 3bs) square units
Where,a is the apothem the the pyramidb is the bases is the slant height of the pyramid
Hexagonal Pyramid Net
A hexagonal pyramid consists of 7 faces, 7 vertices, and also 12 edges. The network of the hexagonal pyramid is created with a hexagon-shaped base is composed of 6 sides follow me which 6 triangle are created by connecting the edges of the base. These triangles are called the lateral encounters of the pyramid. As soon as the pyramid is flattened, the 6 triangles and one hexagon base are seen i.e 6 faces and one confront in the base. See the below image together reference:
Hexagonal Pyramid connected Topics
Listed listed below are couple of interesting topics the are related to the ide of a hexagonal pyramid. Have a look!
Examples on Hexagonal Pyramid
Example 1: Find the volume that a hexagonal pyramid through apothem size of 6 units, base size as 9 units, and height as 15 units.
Solution: provided is, a = 6, b = 9, and h = 15. Let's ar the values in the formula that the volume.
Hexagonal Pyramid Volume = abh cubic units
Volume = 6 × 9 × 15
Volume = 810 units3
Therefore, the volume the the provided hexagonal pyramid is 810 units3.
Example 2: What would certainly be the basic area and also the surface area that a hexagonal pyramid, if it has an apothem size of 4 units, base length as 9 units, and also slant elevation as 14 units?
Solution: provided is a = 4, b = 9, and also s = 14
Let's calculate the basic area that the hexagonal pyramid first,
Base Area = 3ab square units
Base Area = 3 × 4 × 9
Base Area = 108 units2
Next, let's calculate the surface ar area of the hexagonal pyramid,
Surface Area = 3ab + 3bs square units
Surface Area = 3 × 4 × 9 + 3 × 9 × 14
Surface Area = 108 + 378
Surface Area = 486 units2
Therefore, the surface area the the pyramid is 486 units2 and also the basic area is 108 units2.
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FAQs on Hexagonal Pyramid
What is a Hexagonal Pyramid?
A hexagonal pyramid is a 3D form with the base of a hexagon an unified with 6 triangles against the political parties of a hexagon set up to type a pyramid in ~ its apex. This triangles can be either an isosceles triangle or an it is provided triangle and also they are dubbed lateral faces. A hexagonal pyramid is composed of 7 vertices, 7 faces, and 12 edges.
What is the Formula to discover the Volume that a Hexagonal Pyramid?
The formula to calculate the volume that a hexagonal pyramid is, Volume that Hexagonal Pyramid = (abh) cubic units, wherein a is the apothem the the pyramid, b is the base, and also h is the height.
What is the Formula to uncover the surface Area of a Hexagonal Pyramid?
The formula to find the surface ar area of a hexagonal pyramid is, surface Area the Hexagonal Pyramid = (3ab + 3bs) square units, whereby a is the apothem the the pyramid, b is the base, and also s is the slant elevation of the pyramid.
What is the Formula to find the Volume the Hexagonal Pyramid v Equilateral Triangles?
When the encounters of the hexagonal pyramid are equilateral triangles and also the apothem is not mentioned, the following formula is offered to calculate the volume the a hexagonal pyramid.
Volume the hexagonal Pyramid = (√3/2) × a2 × h cubic units, wherein a is the side of the base and also h is the height of the hexagonal pyramid.
What is the Formula to discover the basic Area that the Hexagonal Pyramid?
The formula to uncover the basic area the a hexagonal pyramid is, base Area that Hexagonal Pyramid = 3ab square units, wherein a is the apothem the the pyramid and b is the basic length.
What is the network of a Hexagonal Pyramid?
The network of a hexagonal pyramid is created with 6 triangles attached along the sides of the hexagon-shaped base. There space 7 encounters in total i.e. 6 encounters of the triangle and also one basic which is seen clearly when the pyramid is flattened.
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Does a Hexagonal Pyramid have 12 Edges?
Every pyramid has actually its very own characteristics and properties the are distinctive to them. A hexagonal pyramid does have 12 edges with the base shaped choose a polygon.