1. Reviewing 2D, introducing 3D
Geometry II
Reviewing 2D, introducing 3D

2. Do You Still Remember the 2D Shapes?
Area of
Square
Rectangle
Triangle
Parallelograms
Trapezoids
Circle
Perimeter of the figures above
Let’s do some word problems to make sure you understand

4. Let’s Take a look at the 3D Shapes

5. Volume and Surface Area of Basic 3D Shapes

6. Volume in Daily Life Measure the amount of medicine
Measure cooking and baking materials
At the gas station to fuel up
Water conservation – how much do you use to water the lawn?
Maintaining a swimming pool, or hot tub
What about airing a balloon? Fill a tire?

7. Volume is a “CUBIC Unit”
Volume is measured in "cubic" units. The volume of a figure is the number of cubes required to fill it completely, like blocks in a box.
Be sure to use the same units for all measurements. You cannot multiply feet times inches times yards, it doesn't make a perfectly cubed measurement.

8. Units in Volume Calculation: example The volume of a rectangular prism is the length on the side times the width times the height. If the width is 4 inches, the length is 1 foot and the height is 3 feet, what is the volume?
NOT CORRECT ....
4 times 1 times 3 = 12
CORRECT....
4 inches is the same as 1/3 feet.
Volume is 1/3 feet times 1 foot times 3 feet = 1 cubic foot (or 1 cu. ft., or 1 ft3).

9. Volumes for Some 3D shapes

10. Volume Exercise

11. Volume and Surface Area Exercise

12. Counting the surface area

13. Calculating Surface Area
In general, the surface area is the sum of all the areas of all the shapes that cover the surface of the object.

14. Surface Area Exercises

15. Surface Area Exercises

16. Volume and Surface Area Exercise