{"status": "success", "data": {"description_md": "In the cube shown, $L$ and $K$ are midpoints of adjacent edges $AD$ and $AB$. The perpendicular distance from $F$ to the line segment $LK$ is $10$. What is the volume of the cube, to the nearest integer?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2003/crops/03_pascal_p25_fig.png\" alt=\"figure\" width=\"297\"></center>\n\n$\\text{(A)}\\ 323\\qquad\\text{(B)}\\ 324\\qquad\\text{(C)}\\ 325\\qquad\\text{(D)}\\ 326\\qquad\\text{(E)}\\ 327$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>In the cube shown, <span class=\"katex--inline\">L</span> and <span class=\"katex--inline\">K</span> are midpoints of adjacent edges <span class=\"katex--inline\">AD</span> and <span class=\"katex--inline\">AB</span>. The perpendicular distance from <span class=\"katex--inline\">F</span> to the line segment <span class=\"katex--inline\">LK</span> is <span class=\"katex--inline\">10</span>. What is the volume of the cube, to the nearest integer?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2003/crops/03_pascal_p25_fig.png\" alt=\"figure\" width=\"297\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 323\\qquad\\text{(B)}\\ 324\\qquad\\text{(C)}\\ 325\\qquad\\text{(D)}\\ 326\\qquad\\text{(E)}\\ 327</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2003 Pascal Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/03_pascal_p24"}}