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This simple Java applet for grades 5-8 lets users explore how volume is calculated in a box-shaped object. The user fills the box, layer upon layer, with small cubes to see why volume is a cubic function in a rectangular prism. Dimensions of the object can be easily changed by adjusting the width, depth, or height.

See Related Items for a more complex simulation that explores volume in both rectangular prisms and triangular prisms.

This resource is part of a larger collection of lessons, labs, and activities developed by the National Council of Teachers of Mathematics (NCTM).

Please note that this resource requires Java Applet Plug-in.
Subjects Levels Resource Types
General Physics
- Measurement/Units
= Units and Dimensional Analysis
Other Sciences
- Mathematics
- Middle School
- Elementary School
- Instructional Material
= Activity
= Interactive Simulation
Appropriate Courses Categories Ratings
- Physical Science
- Physics First
- Lesson Plan
- Activity
- New teachers
• Currently 0.0/5

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Intended Users:
Learner
General Public
Formats:
application/java
text/html
Access Rights:
Free access
Restriction:
© 2003 National Council of Teachers of Mathematics; http://illuminations.nctm.org/TermsOfUse.aspx
Keywords:
geometry, measurement, rectangular prism, volume, volume simulation
Record Cloner:
Metadata instance created February 1, 2011 by Caroline Hall
Record Updated:
August 17, 2016 by Lyle Barbato
Last Update
when Cataloged:
July 15, 2008

### AAAS Benchmark Alignments (2008 Version)

#### 9. The Mathematical World

9C. Shapes
• 6-8: 9C/M7. For regularly shaped objects, relationships exist between the linear dimensions, surface area, and volume.
• 6-8: 9C/M10. Geometric relationships can be described using symbolic equations.
• 9-12: 9C/H3a. Geometric shapes and relationships can be described in terms of symbols and numbersâ€”and vice versa.

#### 12. Habits of Mind

12B. Computation and Estimation
• 6-8: 12B/M3. Calculate the circumferences and areas of rectangles, triangles, and circles, and the volumes of rectangular solids.
ComPADRE is beta testing Citation Styles!

AIP Format
(National Council of Teachers of Mathematics, Reston, 2003), WWW Document, (http://illuminations.nctm.org/Activity.aspx?id=4095).
AJP/PRST-PER
Illuminations: Cubes, (National Council of Teachers of Mathematics, Reston, 2003), <http://illuminations.nctm.org/Activity.aspx?id=4095>.
APA Format
Illuminations: Cubes. (2008, July 15). Retrieved March 30, 2017, from National Council of Teachers of Mathematics: http://illuminations.nctm.org/Activity.aspx?id=4095
Chicago Format
National Council of Teachers of Mathematics. Illuminations: Cubes. Reston: National Council of Teachers of Mathematics, July 15, 2008. http://illuminations.nctm.org/Activity.aspx?id=4095 (accessed 30 March 2017).
MLA Format
Illuminations: Cubes. Reston: National Council of Teachers of Mathematics, 2003. 15 July 2008. 30 Mar. 2017 <http://illuminations.nctm.org/Activity.aspx?id=4095>.
BibTeX Export Format
@misc{ Title = {Illuminations: Cubes}, Publisher = {National Council of Teachers of Mathematics}, Volume = {2017}, Number = {30 March 2017}, Month = {July 15, 2008}, Year = {2003} }
Refer Export Format

%T Illuminations: Cubes
%D July 15, 2008
%I National Council of Teachers of Mathematics
%C Reston
%U http://illuminations.nctm.org/Activity.aspx?id=4095
%O application/java

EndNote Export Format

%0 Electronic Source
%D July 15, 2008
%T Illuminations: Cubes
%I National Council of Teachers of Mathematics
%V 2017
%N 30 March 2017
%8 July 15, 2008
%9 application/java
%U http://illuminations.nctm.org/Activity.aspx?id=4095

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The AIP Style presented is based on information from the AIP Style Manual.

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### Illuminations: Cubes:

Covers the Same Topic As CSERD Interactivate: Surface Area and Volume

This is a somewhat more complex simulation that allows students to compare volume calculations for rectangular prisms and triangular prisms. Includes lesson and tips for teachers.

relation by Caroline Hall

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