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Geometry in Space

Problems in this category require students to describe, classify, and understand the relations that exist among threedimensional
objects. This might include visualizing how to fold a twodimensional net into a threedimensional shape.
 Related Resources

Interactive resources from our Math Tools project:
Math 7: Geometry in Space
The closest match in our Ask Dr. Math archives:
Middle School: Higher Dimensional Geometry
NCTM Standards:
Geometry Standard for Grades 68
Access to these problems requires a Membership.

3D Vision
 Annie Fetter

PreAlgebra, difficulty level 3. When you fold up the given net of a cube, what shape is formed by the segments on the faces of the cube?
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Box of Boxes
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Given information about the surface area, find the dimensions of the
large box. Also, find
how many small boxes fit inside the large box.
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Building a Snow Statue
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the height of a snow statue using the given information.
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Chocolate, Orange, Megamint Swirl
 Fitzgerald's Spring 2000 Class C

PreAlgebra, difficulty level 4. How many halfgallon cartons of ice cream can fit in the freezer?
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Geo in Jeopardy
 Richard Tchen

PreAlgebra, difficulty level 3. Find the dimensions of the threedimensional phone booth.
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Pi Day  Let's Eat Cake!
 Judy Ann Brown

PreAlgebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes.
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Pi Day Treats
 Judy Ann Brown

PreAlgebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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Valentine's Day Candy
 Suzanne Alejandre

PreAlgebra, difficulty level 2. How many individually boxed candies did Eddie buy?
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Valley Springs Snow Cream
 Kelly Crisp

PreAlgebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
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Wraparound Universe
 Jeff Weeks

PreAlgebra, difficulty level 4. Explore the game of tictactoe using a cylindrical tictactoe board.
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