Answer :
Final answer:
The volume of the rectangular prism is 8x⁶ - 24x⁴ + 32x³.
Explanation:
The volume of a rectangular prism can be found by multiplying the length, width, and height. In this case, the length is 4x, the width is 2x, and the height is x³-3x+4. So, the volume is given by:
V = (4x) * (2x) * (x³-3x+4)
Expanding and simplifying the expression gives:
V = 8x⁶ - 24x⁴ + 32x³
Therefore, the volume of the rectangular prism is 8x⁶ - 24x⁴ + 32x³.