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# Measurement in 3D!: Area and Volume

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Product Description
This 6 part experiential activity investigates common 3 dimensional objects including:

Cones
Rectangular Solids (boxes)
Cubes
Cylinders
Spheres

This project has 6 independent activities with worksheets and so it lends itself well to small groups.

Through the course of this project, students will:

1. Measure 3D objects with common measurement tools (rulers, yard/meter sticks, tape measures, measuring wheels, strings, etc).
2. Use the linear measures to calculate and explore the connections between perimeters/circumferences, areas, and volumes of different objects.
3.Engage in estimation/approximation as well as calculation from formulas and then compare answers and discuss any discrepancies in their measures from the theoretical calculations.
4. Convert between different units in both Standard U.S. measures and the metric system.
5. "Manually" derive formulas by examining the structure of the three dimensional objects.
6. Extend their learning through strategy and critical thinking opportunities such as designing a room renovation and calculating an expected budget or planning for the construction of a giant cubical aquarium and ensuring that it is stocked appropriately for the health of the animals.

The activities are structured for guided discovery and as such provide many opportunities for critical thinking (how many animals can you reasonably stock in a giant cubical aquarium?) and lots of great teachable moments for small group or one-on-one teacher interaction.

You will need to provide the following materials:
1 - Cone (I usually buy a box of small waffle cones...yummy!)
1 - Box (I use a shoe box or other small box)
2 - Cubes (small and large)
1 - Ball (I use a basket ball)
1 - Cylinder (I use a Coke can)
- String or Yarn
- A tape measure (I usually have 4 available)
1 - Measuring wheel if you have one (optional)
- Yard Sticks/Meter Sticks
- Rulers (preferably with both Metric and Standard measures)

The activity sheets are provided in word files so that you can edit them to your specific objects and tools (i.e. if you don't have a measuring wheel, then you could use a tape measure or if you don't have a basketball, maybe you use a beach ball). I am not including an answer key for the same reasons (your specific objects would give different answers from mine).

Have Fun! Joseph Huston

Total Pages
7 pages
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Teaching Duration
N/A
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