Math 10 Chapter 1 - Geometry of 3-D Figures

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Presentation transcript:

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

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

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.

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

Review of areas

Surface Area Formulas  

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

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

Surface Area Formulas  

Surface Area Formulas  

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?

Answer!   51254 sq. in

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!