## Description

- Overview:
- In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume. Learners build bigger and bigger cubes to understand these scaling relationships.

- Level:
- Upper Primary, Middle School, High School
- Grades:
- Grade 5, Grade 6, Grade 7
- Material Type:
- Activity/Lab
- Author:
- Exploratorium, Gordon and Betty Moore Foundation, National Science Foundation, The Exploratorium
- Provider:
- Exploratorium
- Date Added:
- 12/07/2010

- License:
- Creative Commons Attribution-NonCommercial-ShareAlike 4.0
- Language:
- English
- Media Format:
- Text/HTML

## Standards

Cluster: Solve real-world and mathematical problems involving area, surface area, and volume

Standard: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Degree of Alignment: Not Rated (0 users)

Cluster: Solve real-world and mathematical problems involving area, surface area, and volume

Standard: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Degree of Alignment: Not Rated (0 users)

Cluster: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

Standard: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

Degree of Alignment: Not Rated (0 users)

Cluster: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

Standard: A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

Degree of Alignment: Not Rated (0 users)

Cluster: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

Standard: A cube with side length 1 unit, called a "unit cube" is said to have "one cubic unit" of volume, and can be used to measure volume.

Degree of Alignment: Not Rated (0 users)

Standard: Apply the formulas V =(l)(w)(h) and V = (b)(h) for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Degree of Alignment: Not Rated (0 users)

Cluster: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Standard: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Indicator: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Measurement and Data

Standard: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

Indicator: A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Solve real-world and mathematical problems involving area, surface area, and volume

Indicator: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Geometry

Standard: Solve real-world and mathematical problems involving area, surface area, and volume

Indicator: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Measurement and Data

Standard: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

Indicator: A cube with side length 1 unit, called a "unit cube" is said to have "one cubic unit" of volume, and can be used to measure volume.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Measurement and Data

Standard: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

Indicator: Apply the formulas V =(l)(w)(h) and V = (b)(h) for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Degree of Alignment: Not Rated (0 users)

Learning Domain: Measurement and Data

Indicator: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

Degree of Alignment: Not Rated (0 users)

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# Tags (38)

- Science and Technology
- Mathematics
- Algebra and Calculus
- Geometry and measures
- Data handling
- Probability and statistics
- Chemistry
- Physics
- 3D
- Algebra
- Conducting Investigations
- Cubes
- Data Analysis
- Data Collection
- Education
- Gathering Data
- General
- General Science
- Geometry
- Mass and Weight
- Materials Science
- Measurement
- Measurement and Data
- NSDL
- Patterns
- Physical Science
- Plane Geometry
- Problem-Solving
- Representation
- Scale
- Solid Geometry
- Surface Area
- Technology
- Tessellate
- Tessellation
- Three-dimensional
- Volume
- Volume and Density

## Comments