1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Volume of Right Cylinders and Prisms Stage 6 - Year 11 Applied Mathematic (Preliminary General.

Slides:



Advertisements
Similar presentations
3D shapes.
Advertisements

Solids – Volume and Area We will be using primarily 4 solid objects in this lesson. Right Circular Cylinder Right Circular Cone r h r h s.
Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Calculating Tax Stage 6 - Year 11 General Mathematics Preliminary.
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Stamp Duty and Buying a Car Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Distance between Two Points. Stage 6 - Year 11 Applied Mathematic (Preliminary Extension 1)
HCF and LCM Primes Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use Stage 4 Years 7 & 8 Web Resources.
On the Number Line Stage 4 Years 7 & 8 Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use.
Draw the net for the prism and find the surface area. Show work and include units !
9-2C Volume of Cylinders and Cones What is the difference in volume between cylinders and cones with the same area bases and same height? How do you find.
Volumes Of Solids. 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 10cm.
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Area Formulas and Practical Problems Stage 6 - Year 11 Applied Mathematic (Preliminary General.
A sphere is the set of all points that are a given distance from a given point, the center. To calculate volume of a sphere, use the formula in the blue.
Volume of Composite Solids
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Solving 1 / x > 2 Stage 6 - Year 11 Mathematic Extension 1 (Preliminary)
1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Loan Repayments Stage 6 - Year 12 General Mathematic (HSC)
Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Simple Interest Stage 6 - Year 11 General Mathematics Preliminary.
Cornell Notes Today Volume
A 3D with 5 faces, 9 edges and 6 corners 22 A 3D with 5 faces, 9 edges and 6 corners iRespond Question F Multiple Choice A.) Rectangular Prism B.)
1 One Steppers Press Ctrl-A G Dear ©2009 – Not to be sold/Free to use Stage 4 Year 7.
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Solids Stage 6 - Year 11 General Mathematics Preliminary.
What shape am I? A Cube What shape am I? Cylinder.
12-5 and 12-6 Volumes of Prisms, Cylinders, Pyramids, and Cones Objective – Find the volumes of prisms, cylinders, pyramids, and cones.
Solids and Their Characteristics By:. Cubes Cones Cylinders Square Pyramids Rectangular PrismsSpheres.
1 Press Ctrl-A ©G Dear 2008 – Not to be sold/Free to use Overtime Stage 6 - Year 11 General Mathematics Preliminary.
1 Press Ctrl-A ©G Dear 2008 – Not to be sold/Free to use Intro Stage 6 - Year 11 General Mathematics Preliminary.
©G Dear2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
1 Construction Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use Stage 4 Years 7 & 8.
1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use QuadraticIdentities Stage 6 - Year 11 Mathematic (Preliminary)
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Perimeter of Composite Figures Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)
Chapter 12 Volume. Volume Number of cubic units contained in a 3-D figure –Answer must be in cubic units ex. in 3.
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Loan Repayment Stage 6 - Year 12 General Mathematic.
1 EstimationStrategies Press Ctrl-A ©2009 – Not to be sold/Free to use Stage 5 Year 9.
1 Press Ctrl-A ©G Dear 2008 – Not to be sold/Free to use General Number Patterns Stage 6 - Year 11 General Mathematics Preliminary.
1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Piece Work Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)
1 Plotting Points Using a Table Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use Stage 4 Years 7 & 8.
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
1 Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Surveying Stage 6 - Year 11 General Mathematics Preliminary.
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Angles between two lines. Stage 6 - Year 11 Mathematic Extension 1 (Preliminary)
1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Trigonometry in 3 Dimensions Stage 6 - Year 11 Mathematic Extension 1 (Preliminary)
Chapter Volume of Pyramids and Cones Find the area of the base of the regular pyramid 1.Base is a regular hexagon Area of hexagon 2.
Press Ctrl-A ©G Dear 2009 – Not to be sold/Free to use Depreciation Stage 5 - Year 10.
GEOMETRY Volume of Cylinders, Cones, Spheres 8 th Math Presented by Mr. Laws.
Volumes Of Solids. 8m 5m 7cm 5 cm 14cm 6cm 4cm 4cm 3cm 12 cm 10cm.
©G Dear 2010 – Not to be sold/Free to use
©G Dear 2010 – Not to be sold/Free to use
Surface Area of Composite Solids Outcome: D8 Measure and calculate volumes and surface areas of composite 3-D shapes Math 8 Ms Stewart.
©G Dear 2009 – Not to be sold/Free to use
Geometry-Part 9.
EQUIVALENT FIGURES & SOLIDS.
Volume of solids.
Unit 9. Day 12..
Identifying the nets of 3D shapes
©G Dear 2010 – Not to be sold/Free to use
Geometry in our world Name:.
Solid Figures Geometry.
©G Dear 2009 – Not to be sold/Free to use
Solid Figures Geometry.
©G Dear2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
IMAGINE Find the area of the base, B, times the height
G Dear ©2010 – Not to be sold/Free to use
©G Dear2008 – Not to be sold/Free to use
Reducible to Quadratics
©G Dear 2008 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
©G Dear 2009 – Not to be sold/Free to use
©G Dear 2008 – Not to be sold/Free to use
Bell Ringer.
Presentation transcript:

1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Volume of Right Cylinders and Prisms Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

2 In many industries you will need to find the volume of solids to calculate the amount of material needed to fill them. End of Slide Examples Cube Cylinder Rectangular Prism

3 Cube End of Slide Formula Example L L L Volume = L 3 2m Volume = 2 3 = 8 m 3

4 H Square Pyramid End of Slide Formula Example L Volume = 1 / 3 Volume = 1 / 3 x 2 2 x 3 = 4 m 3 L 2m 3m L2HL2H

5 Rectangular Prism End of Slide Formula Example L B H Volume = LBHVolume = 5x3x2 = 30 m 3 5 m5 m 3 m3 m 2 m2 m

6 2m Rectangular Pyramid End of Slide Formula Example L B LBH Volume = 1 / 3 x5x3x2 = 10 m 3 5 m5 m 3 m3 m H Volume = 1 / 3

7 Cylinder End of Slide Formula Example r h Volume =π r 2 h 2 m2 m 3 m3 m Volume =π x 2 2 x 3 =37.7 m 3

8 h Cone End of Show Formula Example π r2 hπ r2 h Volume = 1 / 3 π x 2 2 x 3 =12.6 m 3 r 3m 2 Volume = 1 / 3