﻿ Definition and examples of hexagonal prism | define hexagonal prism - geometry -Free Math Dictionary Online

# Hexagonal Prism

## Definition of Hexagonal Prism

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

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

### Video Examples: Hexagonal Prism

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

### 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

#### 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.

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