Surface Area of Triangular Prisms - Short

🔑 Key Concepts

  • A triangular prism has 2 congruent triangular bases and 3 rectangular faces.
  • The formula \(SA=ab+Ph\) combines the bases and lateral area.
  • \(ab\) represents the total area of both triangular bases.
  • \(Ph\) represents the area of the three rectangular faces.

💡 Main Idea

To find the surface area of a triangular prism, add the area of the two triangular bases and the three rectangular lateral faces. The shortcut formula \(SA=ab+Ph\) organizes those same parts.

✏️ Worked Example

🧠 Math Vocabulary

  • Triangular Prism: a three-dimensional figure with 2 congruent triangular bases and 3 rectangular lateral faces.
  • Surface Area: the total area of all outside faces of a three-dimensional figure.
  • Congruent Faces: faces that have the same size and shape.
  • Lateral Faces: the rectangular faces that connect the triangular bases.
  • Altitude: the perpendicular height of a triangular base.
  • Perimeter: the distance around the triangular base.
  • Square Units: units used to measure area, such as \(\text{m}^2\).

📚 What You Should Already Know

Students should already know how to find the area of triangles and rectangles, calculate perimeter, and identify the faces of a three-dimensional figure.

🚀 What Comes Next

Students can connect this strategy to triangular prism nets, other prisms, cylinders, cones, and composite three-dimensional figures.

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