{"status": "success", "data": {"description_md": "A container in the shape of a cube has edge length 20 cm and contains some water. A solid gold cube, with edge length 15 cm, sinks to the bottom of this container, causing the water level to rise just to the top of the *solid* cube. Which of the following is closest to the original depth of the water?\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2004/crops/04_pascal_p22_fig.png\" alt=\"figure\" width=\"243\"></center>\n\n$\\text{(A)}\\ 6.56 \\text{ cm}\\qquad\\text{(B)}\\ 8.25 \\text{ cm}\\qquad\\text{(C)}\\ 10.50 \\text{ cm}\\qquad\\text{(D)}\\ 5.31 \\text{ cm}\\qquad\\text{(E)}\\ 7.50 \\text{ cm}$\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>A container in the shape of a cube has edge length 20 cm and contains some water. A solid gold cube, with edge length 15 cm, sinks to the bottom of this container, causing the water level to rise just to the top of the *solid* cube. Which of the following is closest to the original depth of the water?</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2004/crops/04_pascal_p22_fig.png\" alt=\"figure\" width=\"243\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 6.56 \\text{ cm}\\qquad\\text{(B)}\\ 8.25 \\text{ cm}\\qquad\\text{(C)}\\ 10.50 \\text{ cm}\\qquad\\text{(D)}\\ 5.31 \\text{ cm}\\qquad\\text{(E)}\\ 7.50 \\text{ cm}</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": 2, "problem_name": "2004 Pascal Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/04_pascal_p23", "prev": "/problem/04_pascal_p21"}}