3 - D Figurespv.pequannock.org/ourpages/auto/2014/4/21/37343147/3-dfigures.pdfApr 21, 2014  · 3 -...

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