1. Surface area and volume of composite figures Geometric probability
Tuesday, May 21
Surface area and volume of composite figures
Geometric probability

2. Agenda Check your skills Homework check
Surface area and volume of composite figures
Class Work
Homework

3. Warm-Up
Find the approximate surface area of a regular tetrahedron with edge length of 10 cm.
Find the surface area of the
sphere with a radius of 6 cm.

4. HW Check
sqrt(3) pi 10 40pi pi sqrt(3) 22. x = 3

5. Composite figures
Break the shape into figures you are familiar working with. Cones, Cylinders, Pyramids, Prisms, Spheres

6. Review of Formulas
Prisms: LA = ph (perimeter of base*height) SA = LA + 2B (B = area of Base) Volume: Bh (B = area of Base) Cylinder: LA = 2pi*r*h SA = LA + 2B Volume: Bh

7. Pyramids: LA = (1/2)p. L (perimeter of base
Pyramids: LA = (1/2)p*L (perimeter of base* slant height) SA = LA + B (B = area of base) Cone: LA = pi*r*L (L = slant height) SA = LA + B (B= area of base

8. Sphere:

9. Geometric Probability

10. 1. Find the SA
LA of Cone + (1/2) SA of Sphere

11. 2. Find SA
(1/2) SA sphere + A of Circle

12. 3. Volume:
V 1
V 2

13. 4. Volume
V Cone + (1/2) V of sphere

14. 5. Volume of space between two cylinders
V of Whole – V of Hole

15. 1. A) What is the probability for inside the cone

16. 2a) inside the cylinder (radius of cylinder is 4 cm, height is 10 cm)

17. CW Complete composite figures worksheet
Optional: Review sheet: answers are posted on my website:

18. Homework Check
80pi pi
pi =

19. Homework Check SA=784pi V=3658.7pi SA=1960000pi V=457333333pi
R= r= r=12
10. r=6