Designing a triangular prism
Getting to familiar with GeoGebra classic.
Using the document above, create a cube, and any other prism you know.
Part 2: Scenario:
You are an architect tasked with designing a triangular skylight prism for a modern building. The triangular base must be right-angled for structural reasons, and the prism must have specific dimensions to allow sufficient sunlight.[br]
Step 1: Build the Prism in GeoGebra
1. Open GeoGebra 3D Calculator.[br]2. Construct a right triangle with the following dimensions:[br] - Base = 6 cm[br] - Height = 4 cm[br]3. Extend the triangle into a prism with a length/depth of 10 cm.[br]4. Use the Prism tool to generate the 3D figure.[br]5. Name all vertices and faces. Make sure your prism is clearly labeled.[br]
Step 2: Calculate Volume and Surface Area
Use the measurements provided to calculate the following:1. Volume of the prism2. Surface area of the prism[br][br]Remember to show your working[br]
Step3: Reflection Questions
1. How would the prism change if you increase the height of the triangle?2. If you were to paint the prism, how would you calculate how much paint you need?[br]3. What would happen to the volume if the length of the prism doubled?[br][br]
Step 4: Extensions (Optional)
[list][*]Modify the base triangle to be a scalene triangle and recalculate.[br][br][/*][*]Create a pentagonal or hexagonal prism and explore the difference in surface area and volume.[/*][/list]
What are your wonders? What are you happy about? [br]Any question relating to volume and Surface area of prism? Post your responses in the space below.