FCAT Countdown DAY 1 – PART 2 VOLUMEBenchmark:B Use the left  and right  arrow keys to navigate through this presentation.

Objectives Compute volume of 3D figures Compute volume of 3D figures

Agenda Review Volume Review Volume Example Problems Example Problems Practice Problems for a grade Practice Problems for a grade

Things You Should Know Area of Rectangle = b*h Area of Rectangle = b*h Area of Circle = πr 2 Area of Circle = πr 2 Area of Triangle = ½ b*h Area of Triangle = ½ b*h

Review: Volume This section will cover the five figures that appear most often This section will cover the five figures that appear most often Remember: Area is 2-dimensional and Volume is 3-dimensional Remember: Area is 2-dimensional and Volume is 3-dimensional Volume is the amount of space inside an object Volume is the amount of space inside an object Volume is measured in cubic units Volume is measured in cubic units

The Rectangular Prism Packaging cheese slices might be a good way to think about finding the volume of the rectangular prism Packaging cheese slices might be a good way to think about finding the volume of the rectangular prism Ex.1 – How much cheese is contained in the carton illustrated at right? Ex.1 – How much cheese is contained in the carton illustrated at right? 3 in 2 in 5 in

The Rectangular Prism First, we need one slice – the slice is 2 by 3 inches First, we need one slice – the slice is 2 by 3 inches The area of the slice is 2 * 3 = 6 square inches The area of the slice is 2 * 3 = 6 square inches 2 in 3 in If we stack the cheese 5 in high, we form our rectangular prism. It’s volume is the area of one slice multiplied by the height! V = Area of the Base * Height In this case, 2*3*5 = 30 cubic inches 3 in 2 in 5 in

The Cylinder Let’s stack pancakes Let’s stack pancakes Ex.2 – What is the volume of this stack of pancakes? The area of one pancake would be: Area of a circle = πr 2 = π7 2 = 49π cm 2 Volume = Area of the Base * Height V = 49π*10 = 490π cm 3 7 cm 10 cm

The Square Pyramid The pyramid is 1/3 of a prism. The volume would be V = 1/3*Area of Base* Height In this case, V = 1/3*10*10*6 = 200 in 2 = 200 in 2 10 in h = 6 in

The Cone The cone is 1/3 the cylinder. The volume of the cone would be V = 1/3*Area of Base*Height In this case, V = 1/3* π*5 2 *12 V = 1/3* π*25*12 V = 100 π cm 2 h = 12 cm r = 5 cm

The Sphere The Volume of the Sphere isThe Volume of the Sphere is4 --- π r π r 33

Practice Problems Go to Click on the link below to go to the practice problems: time/volume.html time/volume.html