AMC 10A 2022 Problem 16

The roots of the polynomial 10 x^{3}-39 x^{2}+29 x-6 are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each edge of the original box by 2 units. What is the volume of the new box?

Answer Choices
A. \dfrac{24}{5}
B. \dfrac{42}{5}
C. \dfrac{81}{5}
D. 30
E. 48