Students come to see that multiplying the edge lengths or multiplying the height by the area of the base yields an equivalent volume to that found by packing and counting unit cubes. Next, students solidify the connection of volume as packing with volume as filling by comparing the amount of liquid that fills a container to the number of cubes that can be packed into it. This connection is formalized as students see that 1 cubic centimeter is equal to 1 milliliter. Complexity increases as students use their knowledge that volume is additive to partition and calculate the total volume of solid figures composed of non-overlapping rectangular prisms.
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From EngageNY.org of the New York State Education Department. Grade 5 Mathematics Module 5, Topic B Overview.
Available from engageny.org/resource/grade-5-mathematics-module-5-topic-b-overview; accessed 2015-05-29.
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