To find the volume of the bench, we first need to identify the dimensions of each part of the structure.
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Rectangular prism (the bench itself):
- We need its dimensions. However, the height of the bench is given as 8 inches, and there are two cubes on top. We need to subtract the height of the cubes from 8 inches to find the height of the rectangular prism.
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Cubes:
- The cubes each have dimensions of 4 inches x 4 inches x 4 inches. Thus, the height of each cube is 4 inches. Since there are two cubes, the total height added by the cubes: \[ \text{Height of cubes} = 4 , \text{inches} + 4 , \text{inches} = 8 , \text{inches} \]
Since the total height is already given as 8 inches, we need to clarify if the bench itself has any height or it is entirely covered by the cubes.
If we assumed the bench has height and the cubes sit on top, the calculation would not make sense as the height would exceed 8 inches. Therefore, it appears it was intended to ask about either the dimensions of the second rectangular prism next to the cubes or misunderstanding occurred regarding the overall structure.
However, based on the standard calculation of volumes correctly, if we have:
- Two cubes combined have occupied the entire height of 8 inches
Now, calculating the volume of the cubes:
- Volume of one cube = side³ = 4³ = 64 cubic inches
- Volume of two cubes = 2 × 64 = 128 cubic inches
If we assume another rectangular prism exists but dimensions were vaguely provided (i.e., 25 inches length), we need to deduce:
- Assume its length is 25 inches, width presumably remains as twice height of cube i.e. 4 inches:
- Calculate 8 inches (again assuming back height corresponding to subtracting cube volumes to remain):
Now calculating final volumes should include factors ideally from all three combined or puzzle clarifications would be needed for exact numbers.
So without exact clarity, the appropriate interpretations somewhat lead back to determining cubic measures tied into varying logical principles based on given options.
From these calculations available on space scenarios, confirming dimensions for non provided ones is essential in computing any remaining volumes.
Given volumes calculated may not meet exact options but leading with respect to volumes contributed by total construct rendering measures better.
If you'd like to specify or confirm the benchmarks there, I can assist calculating more accurately.