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

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

Let’s Take a look at the 3D Shapes

Volume and Surface Area of Basic 3D Shapes

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?

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.

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).

Volumes for Some 3D shapes

Volume Exercise

Volume and Surface Area Exercise

Counting the surface area

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.

Surface Area Exercises

Surface Area Exercises

Volume and Surface Area Exercise