1. 11.7A (11.4 – 11.7 Review)
Prisms, Cylinders, Pyramids, Cones and Composite Solids: Surface Areas and Volumes
Regular Polygons:
A = ½ aP Central Angle/Triangle Trig!

2. Right Prisms and Cylinders: Flat-Tops
Rt Cylinder
Lateral Surface Area: L = Ph
P is the Perimeter of the Base, h is the height
Surface Area: S = L + 2B
B is Area of the Base
Volume: V = Bh

3. Right Pyramids and Cones: Pointy-Tops
Right Cone l r h

4. Steps to Solving Problems:
1. Is it Flat, Pointy or both?
2. Write Formulas – be careful!
3. Draw the Base: find P, B, h, and l as needed.
4. Substitute into equation & answer the question.

5.  Finding Missing Pieces:
1. Given a square base pyramid, l = 13, s = 10, find L, S and V
2. Find L, S and V of the cone with r = 8, slant height = 10.

6. Composite Solids: 1. Find S and V12
2. Find S and V if the cylinder is removed from the prism.

7. Using Equations: Find the surface area of a cone with
h = 6 ft and V = 200 ft3
Find the volume of a cylinder with a surface
area of 240 m2 and a height of 7 m