# Math10 IS Volume Surface Area

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```					Math 10
Independent Study – Chapter 6                          Name______________________

A. Find an example of one of the following that is used for packaging.
 A rectangular prism (not all faces the same)
 A triangular prism
 A cone
 A cylinder
Complete the following activities for the object you have chosen:
1. Measure the object. Draw it. Indicate the actual dimensions on your
drawing. Be sure to indicate your scale. If possible, include your original.
2. Draw a net of the shape. Indicate your scale. Describe each face by naming the
2-D figure you see.
3. Determine the surface area of the shape. Show all your work with explanations.
4. Determine the volume of the original 3-D object. Show your work.
5. Give 3 specific examples of where 3-D objects of this type are used for packaging
and suggest reasons.

B. For each of the following 3-D objects:
 Sphere
 Cube
 Tetrahedron
1. Write a clear and thorough definition.
2. Write the formulas for surface area and volume of each.
3. Find or draw a picture.
4. Write a poem, song, cartoon or children’s story about one of the shapes you have
explored.

C. Drawing in 3-D
1. You will be given an isometric drawing of a shape made with cubes.
a) Create the shape with the multicubes provided by your teacher.
b) Draw 3 views of the shape on the dot paper provided. An example is shown
below. It will be explained in class.
Math 10
Independent Study – Chapter 6                                      Name______________________

2. You will be given 3 views of a 3-D
object made with cubes.
a) Create the shape with the
multicubes.
b) Draw the 3-D shape on the
isometric dot paper provided.
An example is shown. It will be
explained in class.

D. On the Internet
Visit any 3 of the following internet sites.
Annie's Sketchpad Activities Solids
1    and Nets                                http://mathforum.org/~annie/gsp.handouts/box.net
2    Archimediean Solid from Mathworld       http://mathworld.wolfram.com/ArchimedeanSolid.html
3    Coolmath.com - Polyhedral Gallery!      http://www.coolmath.com/polyhedra.htm
4    Erich's Packing Centre                  http://www.stetson.edu/~efriedma/packing.html
Java Sketchpad Playing with
5    Perspective - Sanders                   http://mathforum.org/workshops/sum98/participants/sanders/TryPersp.gsp.html
Math forum Suzanne Alejandre -
6    Polyhedra Activity                      http://mathforum.org/alejandre/applet.polyhedra.html
7    Perspective Drawing                     http://mathforum.org/sum95/math_and/perspective/perspect.html
8    Perspective Study                       http://clowder.net/hop/persp/persp.html
9    Polyhedra                               http://jcrystal.com/steffenweber/POLYHEDRA/p_00.html
Sanford and a Lifetime of Color's Art
10    Education Resources                     http://www.sanford-artedventures.com/create/try_this_3d.html
11    Solid Geometry -- from Mathworld        http://mathworld.wolfram.com/topics/SolidGeometry.html
12    Space figures and Basic Solids          http://www.mathleague.com/help/geometry/3space.htm
SpaceBric Workshop: Exploring 3D
13    Geometry!                               http://www.spacebrick.com/geometry/solids.html
14    Spatial Reasoning Using Cubes           http://www.illuminations.nctm.org/imath/6-8/isometric/cube68o2.htm
15    Surface Area and Volume                 http://www.shodor.org/interactivate/activities/sa_volume/index.html
The Geometry Junkyard: Polyhedra
16    and Polytopes                           http://www1.ics.uci.edu/~eppstein/junkyard/polytope.html
The Geometry of 3-D Drawing -
17    Cathi Sanders                           http://mathforum.org/workshops/sum98/participants/sanders/Geom3D.html
18    Three Dimensional Box Applet            http://mathforum.org/workshops/sum98/participants/sanders/Geom3D.html
Three Dimensional Figures -
19    Cylinders, Cones, Spheres               http://www.math.com/school/subject3/lessons/S3U4L4GL.html
20    Tom Gettys - Polyhedra Hyperpages       http://home.teleport.com/~tpgettys/poly.shtml
Virtual Manipulative Volume and
21    Shape                                   http://matti.usu.edu/nlvm/nav/frames_asid_275_g_3_t_3.html
Volume Prisms, Pyramids,
22    Cylinders, Cones                        http://gizmos.explorelearning.com/gizmos/math/volume.html

1. Write a short summary on two of the sites describing them briefly. (two or three
sentences)
2. For your favourite site, write a one page report describing it in detail. Indicate
what you liked about the site and how it helped your understanding of three
dimensional objects.

E. Problem Solving in 3-D
You will be given a problem in 3-D by your teacher. Solve the problem and explain
your solution in detail. Full marks will not be given unless your thinking is clearly
explained.
Math 10
Independent Study – Chapter 6   Name______________________

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