Answer:
The volume of the rectangular prism is 64 cubic inches.
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula V = l × w × h, where "l" is the length, "w" is the width, and "h" is the height. In this case, the length of the prism is 4 inches, the width is 2 inches, and the height is 8 inches. Plugging these values into the formula: V = 4 × 2 × 8 = 64 cubic inches. The result indicates that there are 64 one-inch cubes filling the rectangular prism. Each dimension of the prism contributes to the total volume, and multiplying these dimensions provides the total space occupied by the cubes within the prism.
Understanding the concept of volume is crucial in various real-world applications, such as calculating storage capacity or determining the amount of material needed for construction. In this scenario, the volume represents the total number of unit cubes that can fit into the given space. The multiplication of length, width, and height reflects the three-dimensional nature of the rectangular prism. Thus, the final answer of 64 cubic inches represents the comprehensive volume measurement of the filled prism, providing a clear and concise response to the question.