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).

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

Example of Hexagonal Prism

Solved Example on Hexagonal Prism

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.

Related Terms for Hexagonal Prism

  • Area
  • Base
  • Face
  • Hexa
  • Hexagon
  • Perimeter
  • Prism