Final answer:
To determine the volume of a right rectangular prism formed by 9 stacked layers of 1-inch cubes, multiply the volume of one layer (9 in.³) by the number of layers (9), resulting in a total volume of 81 in.³.
Step-by-step explanation:
The question asks about calculating the volume of a right rectangular prism formed by stacking 9 layers of 1-inch cubes. To find the volume of the stack, we use the formula volume of stack = length x width x height. If one layer is represented by a volume of 6 in. × 3 in. x 0.5 in., resulting in 9 in.³ per layer, then stacking 9 layers would simply involve multiplying the volume of one layer by the number of layers.
Therefore, the total volume of the 9 stacked layers is 9 in.³/stack x 9 stacks, which equals 81 in.³. This gives us the volume of the right rectangular prism when the 9 layers of 1-inch cubes are stacked on top of each other.