Surface Area of Triangular Prisms

This lesson teaches how to calculate the surface area of triangular prisms by understanding the congruent faces of different types of prisms: scalene, isosceles, and equilateral. The lesson provides specific plans for each type, emphasizing the importance of identifying the number of different rectangular face sizes. Students learn to add the areas of triangles and rectangles to find the total surface area.

What is a key characteristic of a prism?

• It has two parallel and congruent polygonal bases.

• It has only one base.

• It is a 2D figure.

• It has circular bases.

How many different rectangular face sizes does a triangular prism with scalene bases have?

• One

• Two

• Three

• Four

What is the first step in calculating the surface area of a triangular prism with scalene bases?

• Find the area of the small rectangle.

• Find the area of the medium rectangle.

• Find the area of the large rectangle.

• Find the area of the triangles.

What is the final step in the plan for finding the surface area of a triangular prism with scalene bases?

• Add the area of the large rectangle.

• Multiply the area of the triangles by two.

• Add the area of the medium rectangle.

• Add the area of the small rectangle.

For a triangular prism with isosceles bases, how many different rectangle sizes are there?

• One

• Four

• Two

• Three

What is the plan for finding the surface area of a triangular prism with isosceles bases?

• Find the area of the triangles and add the area of three congruent rectangles.

• Find the area of the triangles, add the area of the small rectangle, and double the area of the large rectangle.

• Find the area of the triangles and add the area of the large rectangle.

• Find the area of the triangles and add the area of the medium rectangle.

What is unique about the rectangular faces of a triangular prism with equilateral bases?

• All rectangular faces are congruent.

• All rectangular faces are different sizes.

• Only two rectangular faces are congruent.

• There are no rectangular faces.

How do you calculate the surface area of a triangular prism with equilateral bases?

• Find the area of the triangles and add the area of four congruent rectangles.

• Find the area of the triangles and add the area of two congruent rectangles.

• Find the area of the triangles and add the area of three congruent rectangles.

• Find the area of the triangles and add the area of one rectangle.

What should you do before deciding which plan to follow for calculating the surface area of a triangular prism?

• Choose the plan with the least steps.

• Always use the plan for equilateral bases.

• Analyze the situation closely.

• Use the plan for isosceles bases.

What is the main focus of this lesson?

• Developing a plan for finding the surface area of triangular prisms.

• Calculating the perimeter of triangular prisms.

• Understanding the volume of triangular prisms.

• Learning about different types of polygons.