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: Hexagonal Prism
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.
Quick Summary
- Hexagonal prisms have two hexagonal bases and six rectangular lateral faces.
- The surface area can be calculated using the formula 6as + 6sh, where 'a' is the apothem, 's' is the side length, and 'h' is the height.
- The volume can be calculated using the formula 3ash, where 'a' is the apothem, 's' is the side length, and 'h' is the height.
🍎 Teacher Insights
Use visual aids and real-world examples (e.g., pencils, nuts) to help students understand the properties of hexagonal prisms. Emphasize the difference between surface area and volume, and provide plenty of practice problems.🎓 Prerequisites
- Basic understanding of polygons
- Knowledge of area and volume calculations
- Familiarity with prisms
- Understanding of hexagons
Check Your Knowledge
Q1: Which of the following is NOT a face of a hexagonal prism?
Q2: A hexagonal prism has a base with side length 4 and a height of 10. What shapes do you need to find the surface area?
Frequently Asked Questions
Q: What shapes make up a hexagonal prism?
A: Two hexagons (bases) and six rectangles (lateral faces).
Q: How do you find the surface area of a hexagonal prism?
A: Use the formula 6as + 6sh, where a is the apothem, s is the side length, and h is the height.
Q: How do you find the volume of a hexagonal prism?
A: Use the formula 3ash, where a is the apothem, s is the side length, and h is the height.