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The volume robot was one way I learned the unit conversions for liquid measurements in school!

You can use small cereal boxes and 1 cubic centimeter cubes to determine the volume, area, perimeter etc, of the box. 5.MD.3. Recognize volume as an attribute of solid figures and understand concepts of volume measurement. 5.MD.4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

Understand volume, measure volume, relate volume to multiplication and addition (5.MD.4)

This is an amazing inquiry based science and math project where students teach themselves the formula for volume. They have to figure out how many cubes can fit in the cereal box. This aligns with the Common Core Math Standard 5.MD.4: Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

How is the Mass and Volume of Matter Measured Lab

Teaching volume ! Students create skyscrapers using cubes. They then calculate the volume of each solid used to create the building. For the final step students add all the volumes together to find the volume of the entire building.

Measurement - Measuring leaves on graph paper would be a good activity to not only measure width and the height, but also to measure area and the perimeter of the leaf. (Or other object.)

And with words: Archimedes proved that volume(CYLINDER) = volume(SPHERE) + volume(CONE)