📚 Topic Summary
A triangular prism is a 3D shape with two triangular bases and three rectangular sides. A net is what you get if you unfold the 3D shape and lay it flat. To find the surface area using a net, you simply calculate the area of each face (the two triangles and three rectangles) and add them all up. Easy peasy! 🍋
The formula for the area of a triangle is $\frac{1}{2} \times base \times height$, and the formula for the area of a rectangle is $length \times width$.
🧮 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Triangular Prism |
A. The sum of the areas of all the faces of a 3D shape. |
| 2. Net |
B. A polygon with three sides. |
| 3. Surface Area |
C. A 3D shape with two triangular bases and three rectangular sides. |
| 4. Triangle |
D. A flat pattern that can be folded to form a 3D shape. |
| 5. Rectangle |
E. A four-sided polygon with all angles equal to 90 degrees. |
✍️ Part B: Fill in the Blanks
Fill in the missing words in the paragraph below:
To find the ________ area of a triangular prism using a ________, you need to calculate the area of each ________. A triangular prism has two ________ bases and three ________ sides. Add all the areas together to get the total surface area.
🤔 Part C: Critical Thinking
Explain in your own words how using a net simplifies the process of finding the surface area of a triangular prism. Can you think of any other shapes where using a net would be helpful? 🚀