{"id":"aqua_rat:bcbd6dd64aada75bc0e9b3deff970ea9","source_id":"aqua_rat","source_item_id":"bcbd6dd64aada75bc0e9b3deff970ea9","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cubic meters. Find the breadth of the wall.","stimulus":"","stimulus_html":null,"stem_html":"<p>The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cubic meters. Find the breadth of the wall.</p>","rationale_html":"<p>Let the breadth of the wall be x metres.</p><p>Then, Height = 5x metres and Length = 40x metres.</p><p>x * 5x * 40x = 12.8</p><p>=&gt; x3 = 12.8/200 = 128/2000 = 64/1000</p><p>=&gt; x = 4/10 m</p><p>=&gt; x = (4/10) × 100 = 40 cm</p><p>A</p>","correct_answer":["A"],"equiv_key":"b44b2770a9b8bb8f83ed58af","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>40cm</p>","ord":0},{"label":"B","content_html":"<p>30cm</p>","ord":1},{"label":"C","content_html":"<p>20cm</p>","ord":2},{"label":"D","content_html":"<p>10cm</p>","ord":3},{"label":"E","content_html":"<p>None of these</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}