Answer: volume = 5.5625 cubic units.
Explanation:
A rectangular prism is filled with 356 cubes, then the volume of the prism will be equal to 356 times the volume of a single cube.
We know that for a cube with side length L, the volume is:
V = L^3
And we know that these small cubes have an edge length of 1/4 units.
Then the volume of each small cube is:
V = (1/4)^3 cubic units
V = (1/64) cubic units
And the volume of the prism will be 356 times that, then the volume of the prism is:
volume = 356*(1/64) cubic units
volume = 5.5625 cubic units.