9887
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Two Proofs of the Equality of the Volumes of a Box and a Parallelepiped
This Demonstration gives two proofs of equality of the volume of a box and a parallelepiped with the same base and height, by dissection and by Cavalieri's principle.
Contributed by:
Izidor Hafner
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
RELATED LINKS
Cavalieri's Principle
(
Wolfram
MathWorld
)
Dissection
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Two Proofs of the Equality of the Volumes of a Box and a Parallelepiped
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TwoProofsOfTheEqualityOfTheVolumesOfABoxAndAParallelepiped/
Contributed by:
Izidor Hafner
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
14-Piece Dissection of Juel's Pyramid into a Parallelepiped
Izidor Hafner
A Polygon That Folds into a Regular Tetrahedron or into a Rectangular Box
Izidor Hafner
Dissection of a Truncated Octahedron into Hexagonal Skew Prisms and Parallelepipeds
Izidor Hafner
Two Operations on Rhombic Solids
Izidor Hafner
Two Polyhedra with D2 Symmetry
Izidor Hafner
Dissection of Two Stellated Dodecahedra
Izidor Hafner
Proof of Proposition 28, Book XI, Euclid's Elements
Izidor Hafner
Dissecting a Rhombohedron into Two Congruent Rhombohedra
Izidor Hafner
Space Filling with Two Kinds of Polyhedra
Izidor Hafner
Two Solids Made from Golden Rhombic Solids
Izidor Hafner
Related Topics
3D Graphics
Polyhedra
Recreational Mathematics
Solid Geometry
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-GMD.A.2
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+