Hexagonal Prism

Definition of Hexagonal Prism

A Hexagonal Prism is a prism with 2 hexagonal bases and six rectangular faces.

More About Hexagonal Prism

    Surface area of a regular hexagonal prism = 6 apothem (a) side length (s) + 6 side length (s) height (h)

Video Examples: Acute and Obtuse Angles in Geometry


    Volume of the hexagonal prism = 3 apothem (a) side length (s) height (h)

Example of Hexagonal Prism

Solved Example on Hexagonal Prism

Ques: Which of the nets can be folded to form a hexagonal prism?

    Choices:
    A. Figure 1 and Figure 2
    B. Figure 1, Figure 2, and Figure 3
    C. Figure 1 only
    D. Figure 2 only
    Correct Answer: A

Solution:

    Step 1: The bases of the hexagonal prism are in the shape of a hexagon and all the lateral faces are in the shape of a rectangle.
    Step 2: If you fold Figure 1, the boxes 1 and 8 are the bases and the boxes 2, 3, 4, 5, 6, and 7 are the lateral faces.
    Step 3: So, Figure 1 forms a hexagonal prism.
    Step 4: If you fold Figure 2, the boxes 1 and 8 are the bases and the boxes 2, 3, 4, 5, 6, and 7 are the lateral faces.
    Step 5: So, Figure 2 forms a hexagonal prism.
    Step 6: If you fold Figure 3, the box 1 is one base and the box 8 is one lateral side.
    Step 7: So, Figure 3 cannot form a hexagonal prism.
    Step 8: So, the figures that form a hexagonal prism when folded are Figure 1 and Figure 2.