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The video tutorial explains how to calculate the volume of a rectangular prism using unit cubes. It begins by introducing the concept of volume with a cube of side 1 cm, defining it as a cubic centimeter. The tutorial then describes a rectangular prism with dimensions 4 cm by 3 cm by 2 cm and demonstrates how to fill it with unit cubes. The process involves calculating the number of cubes in each layer and multiplying by the number of layers to find the total volume. The final volume is calculated as 24 cubic centimeters, reinforcing the formula for volume calculation: length times width times height.

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