{"status": "success", "data": {"description_md": "The roots of the polynomial $10x^3 - 39x^2 + 29x - 6$ 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?\n\n$\\textbf{(A) } \\frac{24}{5} \\qquad \\textbf{(B) } \\frac{42}{5} \\qquad \\textbf{(C) } \\frac{81}{5} \\qquad \\textbf{(D) } 30 \\qquad \\textbf{(E) } 48$", "description_html": "<p>The roots of the polynomial  <span class=\"katex--inline\">10x^3 - 39x^2 + 29x - 6</span>  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  <span class=\"katex--inline\">2</span>  units. What is the volume of the new box?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{24}{5} \\qquad \\textbf{(B) } \\frac{42}{5} \\qquad \\textbf{(C) } \\frac{81}{5} \\qquad \\textbf{(D) } 30 \\qquad \\textbf{(E) } 48</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2022 AMC 10A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc10A_p17", "prev": "/problem/22_amc10A_p15"}}