A hexagonal pyramid is a various kind of pyramid that exists. A hexagonal pyramid has actually the base in the form of a hexagon along with isosceles triangles together the deals with that incorporate the pyramid together at the apex. Let united state learn much more about the concept 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 the a Hexagonal Pyramid 5 Hexagonal Pyramid Net 6 FAQs ~ above Hexagonal Pyramid

A hexagonal pyramid is a 3D shame pyramid that has actually the base shaped prefer a hexagon in addition to the sides or deals with in the shape of isosceles triangles that type the hexagonal pyramid in ~ the apex or the height of the pyramid. A hexagonal pyramid has actually a base with 6 sides along with 6 isosceles triangular lateral faces. The other name because that a hexagonal pyramid is Heptahedron. A hexagonal pyramid consists of 7 faces, 12 edges, and also 7 vertices. Photo of a hexagonal pyramid is given below for her reference.

Hexagonal Pyramid Properties

Just like any other pyramid, a hexagonal pyramid also has unique properties that differentiate it native the other pyramids. Let's check out what room those properties:

There room 7 vertices in total in a hexagonal pyramid wherein 6 is at the basic of the pyramid and one at the topIn total, a hexagonal pyramid has actually 7 faces, one because that each side of the triangle in addition to one base

Volume that Hexagonal Pyramid

To calculation the volume that a hexagonal pyramid, we need to recognize three significant aspects the the hexagonal pyramid i.e. The apothem i beg your pardon is measured from the facility of the basic to any suggest on the side of the base, 2nd is the size of the base, and 3rd is the elevation which is the height of the pyramid native the apex come the base. Hence, the formula to calculate the hexagonal pyramid volume is:

Volume that Hexagonal Pyramid = (abh) cubic units

Where,

a is the apothem the the pyramidb is the baseh is the height

When the apothem that the hexagonal pyramid is no mentioned and also when the triangles are equilateral triangles, we deserve to use another alternative formula i beg your pardon is:

Volume that hexagonal Pyramid = (√3/2) × a2 × h cubic units, whereby a is the next of the base and also h is the elevation of the hexagonal pyramid

Surface Area that a Hexagonal Pyramid

Before we calculate the surface area the a hexagonal pyramid, we likewise need to know its base. The surface ar area of the hexagonal pyramid deserve to be calculated once we have actually the slant elevation of the pyramid i m sorry is the elevation from the apex to any allude on the border of the basic of the pyramid. Hence, let united state see both the formula of the hexagonal pyramid - base area and also surface area.

Base Area of Hexagonal Pyramid = 3ab square units

Surface Area of Hexagonal Pyramid = (3ab + 3bs) square units

Where,

a is the apothem that the pyramidb is the bases is the slant elevation of the pyramid

Hexagonal Pyramid Net

A hexagonal pyramid consists of 7 faces, 7 vertices, and 12 edges. The net of the hexagonal pyramid is created with a hexagon-shaped base consists of 6 sides follow me which 6 triangles are developed by connecting the edges of the base. This triangles are called the lateral deals with of the pyramid. As soon as the pyramid is flattened, the 6 triangles and also one hexagon base are seen i.e 6 faces and one challenge in the base. See the listed below image as reference:

Hexagonal Pyramid associated Topics

Listed below are few interesting topics the are regarded the concept of a hexagonal pyramid. Have a look!

Examples on Hexagonal Pyramid

Example 1: Find the volume the 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 place the worths in the formula the the volume.

Hexagonal Pyramid Volume = abh cubic units

Volume = 6 × 9 × 15

Volume = 810 units3

Therefore, the volume of the provided hexagonal pyramid is 810 units3.

Example 2: What would certainly be the basic area and also the surface ar area the a hexagonal pyramid, if it has actually an apothem size of 4 units, base length as 9 units, and also slant height as 14 units?

Solution: offered is a = 4, b = 9, and s = 14

Let's calculation the base area the the hexagonal pyramid first,

Base Area = 3ab square units

Base Area = 3 × 4 × 9

Base Area = 108 units2

Next, let's calculation 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 that the pyramid is 486 units2 and also the base area is 108 units2.

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FAQs on Hexagonal Pyramid

What is a Hexagonal Pyramid?

A hexagonal pyramid is a 3D shape with the base of a hexagon an unified with 6 triangles versus the political parties of a hexagon set up to form a pyramid in ~ its apex. These triangles can be one of two people an isosceles triangle or an equilateral triangle and they are called lateral faces. A hexagonal pyramid consists of 7 vertices, 7 faces, and 12 edges.

What is the Formula to discover the Volume of a Hexagonal Pyramid?

The formula to calculate the volume the a hexagonal pyramid is, Volume the Hexagonal Pyramid = (abh) cubic units, where a is the apothem the the pyramid, b is the base, and h is the height.

What is the Formula to uncover the surface Area the a Hexagonal Pyramid?

The formula to find the surface area that a hexagonal pyramid is, surface ar Area that Hexagonal Pyramid = (3ab + 3bs) square units, whereby a is the apothem of the pyramid, b is the base, and s is the slant elevation of the pyramid.

What is the Formula to uncover the Volume of Hexagonal Pyramid with Equilateral Triangles?

When the deals with of the hexagonal pyramid are equilateral triangles and also the apothem is not mentioned, the following formula is provided to calculation the volume the a hexagonal pyramid.

Volume that hexagonal Pyramid = (√3/2) × a2 × h cubic units, whereby a is the side of the base and also h is the height of the hexagonal pyramid.

What is the Formula to find the basic Area that the Hexagonal Pyramid?

The formula to find the base area of a hexagonal pyramid is, base Area of Hexagonal Pyramid = 3ab square units, where a is the apothem that the pyramid and b is the basic length.

What is the net of a Hexagonal Pyramid?

The network of a hexagonal pyramid is formed with 6 triangle attached along the sides of the hexagon-shaped base. There are 7 encounters in complete i.e. 6 deals with of the triangle and also one base which is seen plainly when the pyramid is flattened.

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Does a Hexagonal Pyramid have 12 Edges?

Every pyramid has its very own characteristics and properties that are distinctive to them. A hexagonal pyramid does have 12 edges with the base shaped like a polygon.