1. Warm Up
Find the surface area of the following figures. Show work and include units!
3.84 mm
19 ft mm ft
square inches
square feet
9 ft
12.25 in
6.57 ft
4.19 in
5.28 ft

2. Lesson 5-2: Surface Area of Triangular Prisms and Cylinders
I can…
Vocabulary
find the surface area of a triangular prism.
find the surface area of a cylinder.
Cylinder

3. Surface Area (REVIEW)
The total area of the surface of a three dimensional object
*We will use nets to help us
determine the surface area

4. Net (REVIEW)
A two-dimensional figure that can be folded on its segments or curved on its boundaries to form a three-dimensional figure.

5. Right Prism (REVIEW)
A prism that has two bases, one directly above the other, and has its lateral faces as rectangles.

6. Triangular Prism
A prism whose bases are triangles.

7. Video Over Surface Area of a Triangular Prism

8. Surface Area of a Triangular Prism
First, let’s draw a net of a triangular prism.
7 cm
Triangle 1 = (½*b*h)
Triangle 2 = (½*b*h)
= (½*8*10)
= (½*8*10)
= (½*80)
= (½*80)
= 40 sq. cm
= 40 sq. cm

9. Surface Area of a Triangular Prism
7 cm
Rectangle 1= (l * w)
Rectangle 3 = ( l * w)
=(7 * 60)
= ( 8 * 60)
= 420 sq. cm
= 480 sq. cm
Rectangle 2= (l * w)
=(7 * 60)
= 420 sq. cm

10. Surface Area of a Triangular Prism
7 cm
Total Surface Area = Area of Triangles + Area of Rectangles =
= 1400 sq. cm

11. Examples What is the surface area of the triangular prism?
Triangle 1 SA= 12 sq. meters
Triangle 2 SA= 12 sq. meters
Rectangle 1 SA= 63 sq. meters
Rectangle 2 SA= 56 sq. meters
Rectangle 3 SA= 21 sq. meters
Total = 164 sq. meters

12. Cylinder
A three dimensional shape with two identical flat ends that are circular or elliptical connected by a curved surface.

13. Surface Area of a Cylinder
The net of a cylinder:

14. Video Over Surface Area of a Cylinder

15. Surface Area of A Cylinder Ex

16. Example