Hexagonal Prism Formula and Example

Hexagonal Prism Formula :

The hexagon formula calculates the perimeter, area, and diagonals of the hexagon. The hexagon formulas apply directly to regular hexagons. The volume of a hexagonal prism is the space occupied by it. A prism is a three-dimensional shape having identical bases, flat rectangular side faces, and the same cross-section all along its length. Prisms are classified into different types and named as per the shape of their base.

Hexagonal prism=[(3√3)/2]a2h cubic units

Where,

a→ apothem length

b → length of a side of the base

h → height of the prism.

Example:1

Calculate the volume of a hexagonal prism with a base edge length of 8 units and height of 20 units?

Answer:

Given a=8 and h=20 where a is the base length and h is the height of the hexagonal prism

Hexagonal prism volume =[3√ 3)/2]a2 h

Volume=[3√ 3)/2]*82*20

Volume=[3√ 3)/2]*1280

Volume=4703cubic units

Therefore, the volume of the hexagonal prism is 4703 cubic units

Example:2

Calculate the surface area of a hexagonal prism with the base edge as 9 units and height 15 units?

Answer:

Given a=9units and h=15 units where is the base length and h is the height of the hexagonal prism

Surface Area of hexagonal prism=6*a*h+3√ 3a2

Area =6*9*15+3√ 3*92

Area=810+46.76

=856.76square units

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