1. Math 10 Chapter 1 - Geometry of 3-D Figures
Lesson 4 – Calculating Surface Areas of 3-D Shapes

2. Todays Objectives: In this section we will:
Sketch a diagram to represent a problem that involves surface area (SA)
Determine the SA of a right cone, right prism, right pyramid, or sphere using an object or diagram
Determine an unknown dimension of a right cone, right prism, right pyramid, or sphere given the SA and remaining dimensions
Solve a problem that involves SA

3. Surface Area
Area is the two-dimensional (2-D) size of a surface. Consider the area that your notebook is covering on the surface of your desk
Surface area (SA) of a solid is the total area of the exposed surfaces of a three-dimensional (3-D) object.

4. Surface Area
Consider a box. If you unfolded the sides, top, bottom, front and back…how much area on your desk would it cover?
That would be the surface area of the box

5. Review of areas

6. Surface Area Formulas

7. Surface Area Formulas Right Pyramid Atriangle = 1/2bs Abase = b2
SA = 2bs + b2

8. Surface Area Formulas
Right Prism
SA = 2(hl + lw + hw)

9. Surface Area Formulas

10. Surface Area Formulas

11. Combined Surface Areas
Sometimes you may encounter two shapes combined into one
*Don’t forget that you may need to subtract certain dimensions to find the correct answer
Ex.) How can we find the SA of this shape?

12. Answer!
51254 sq. in

13. Assignment Pg. 34-35, # 5,7,9,13,17 Pg. 51-52, # 3ac, 9
Do this in your homework books
Show ALL your calculations!
Just a heads up, there will be a vocabulary quiz the last day before golden week!