# Volume Formula for Rectangular Prisms Math Games

In this series of games, your students will learn to apply the formulas V = l × w × h and V = b × h to find volumes of right rectangular prisms with whole-number edge lengths. The Volume Formula for Rectangular Prisms learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 5.MD.C.5.b as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

**Concepts Covered**

Volume is comprised of layers of measurable units. A unit cube is a cube with a side length of 1 unit. Use unit cubes as a basis for students’ understanding of volume as a measurable attribute.

Determine the volume of a rectangular prism. Build right rectangular prisms, count the cubes, and see that they are comprised of layers of cubes. Mentally decompose and recompose a right rectangular prism built from cubes into layers, each of which is composed of rows and columns.

Understand that multiplying the length times the width of a right rectangular prism can be viewed as determining how many cubes would be in each layer if the prism were packed with or built up from unit cubes. The height of the prism tells how many layers would fit in the prism. The formula for volume can be derived as length times width times height, or the area of the base times the height (V = l x w x h or V = B x h). Find volume or any of the edge lengths by manipulating the formula for volume to find one other measurement. Use standard units of measure such as cubic cm, cubic in, cubic ft, and any unit that the problem presents.

A preview of each game in the learning objective is found below.

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