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3 - D Figures
~With partner answer the following questions on whiteboard
1. Name your figure.
2. How many faces does your figure have?
3. How many edges does your figure have?
4. How many vertices does your figure have?
5. If you figure was sliced down the middle, what figure would be created?
3 - D Figures
~prism~ 3-d figure with two bases of the same shape and size. Sides are rectangles. Named by the shape of the base.
examples:
~pyramid~ 3-d figure with only one base. Sides are triangles. Named by the shape of the base.
examples:
~cylinder~ 3-d figure with two circular bases.
~cone~ 3-d figure with exactly one circular base.
~sphere~ 3-d figure with no faces, edges, or bases.
3 - D Figures
~faces~ the flat sides of a 3-d figure (includes the bases)
~edges~ where two faces intersect
~vertex~ the point where two or more edges intersect.
A geometry net is a 2-dimensional shape that can be folded to form a 3-dimensional
shape or a solid. Or a net is a pattern made when the surface of a three-dimensional
figure is laid out flat showing each face of the figure. A solid may have different nets.
Below are the steps to determine whether a net forms a solid:
1. Make sure that the solid and the net have the same number of faces and that the shapes of the faces of the solid match the shapes of the corresponding faces in the net.
2. Visualize how the net is to be folded to form the solid and make sure that all the sides fit together properly.
Nets are helpful when we need to find the surface area of the solids.
http://www.onlinemathlearning.com/geometrynets.htmlhttp://my.hrw.com/math06_07/nsmedia/lesson_videos/geo/player.html?contentSrc=6795/6795.xml
Cross Section
A cross section is when a flat plane slices through a solid . The shape of the cross section depends on how the plane slices the solid.
http://www.bbc.co.uk/bitesize/ks2/maths/shape_space/3d_shapes/play/
http://www.brainingcamp.com/resources/math/surfacearea/questions.php
http://www.brainingcamp.com/resources/math/surfacearea/applications.php
Surface Area
**Surface area**~the sum of the areas of each face of a 3-d figure
~think wrapping a gift
~measured in square units
Surface Area
**Steps for calculating surface area**1. Identify the 3-d figure
2. Identify the formula
3. Plug-in the measurements
4. Solve (find area of each individual figure first)
5. Label answer (square units)
Surface Area
3-d figure Shape of faces FormulasRectangular prism
Triangular prism
Cube
Cylinder
Surface Area
3-d figure Shape of faces Formulas
Triangular Pyramid
Square Pyramid
Volume
**Volume**~the measure of the amount of space inside a 3-d figure.
~think filling with water or sand
~measured in cubed units (label in3)
~Always follow formula Area of the Base(B) x Height(H)*(Volume = BH)*height - line that connects the two bases
Volume
3-d figure Shape of base Formulas
Rectangular Prism
TriangularPrism
Square Pyramid
Triangular Pyramid
Volume
3-d figure Shape of base Formulas
Cylinder
Cone
Sphere
Homework
Homework
Volume Applications
http://www.studyzone.org/mtestprep/math8/g/volcylquiz.cfm
http://www.studyzone.org/mtestprep/math8/a/voltriprism7p.cfm
http://www.studyzone.org/mtestprep/math8/a/3Dshapes7p.cfm
http://www.brainingcamp.com/content/concepts/volume/questions.php
http://www.brainingcamp.com/content/concepts/volume/applications.php
http://www.bbc.co.uk/bitesize/ks3/maths/measures/volume/activity/
http://www.studyzone.org/mtestprep/topic6.cfm?TopicID=241
http://www.starrmatica.com/standalone/starrMatica3DEarthExploration.swf
http://www.classzone.com/cz/books/pre_alg/resources/applications/eWorkbook/index.html
http://www.classzone.com/cz/books/pre_alg/resources/applications/eWorkbook/index.html
http://bbarnhardtadms.weebly.com/volumeandsurfacearea.html
http://www.scholarnet.co.nz/member/courses/smol/data/site/flash_apps/Measurement.php
http://www.quia.com/cb/260910.html