{"id":"cb_question_bank:35add8a9-5ab0-4896-8836-e553f5ea3d9d","source_id":"cb_question_bank","source_item_id":"35add8a9-5ab0-4896-8836-e553f5ea3d9d","external_id":"cd36e81a-3f06-40da-ab13-b7cd41cd0e9b","ibn":null,"question_id":"69f6717f","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A sample of oak has a density of <math alttext=\"807\"><mn>807</mn>\n</math>&nbsp;kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of <math alttext=\"0.90\"><mn>0.90</mn></math>&nbsp;meters. To the nearest whole number, what is the mass, in kilograms, of this sample?&nbsp;</p>","rationale_html":"<p>Choice A is correct. It’s given that the sample is in the shape of a cube with edge lengths of <math alttext=\"0.9\"><mn>0.9</mn>\n</math> meters. Therefore, the volume of the sample is <math alttext=\"0.90 cubed\"><msup><mn>0.90</mn><mn>3</mn></msup></math>, or <math alttext=\"0.729\"><mn>0.729</mn>\n</math>, cubic meters. It’s also given that the sample has a density of <math alttext=\"807\"><mn>807</mn>\n</math> kilograms per <math alttext=\"1\"><mn>1</mn>\n</math> cubic meter. Therefore, the mass of this sample is <math alttext=\"0.729 cubic meters left parenthesis StartFraction 807 kilograms Over 1 cubic meter EndFraction right parenthesis\"><mn>0.729</mn><mtext>&nbsp;cubic&nbsp;meters</mtext><mfenced><mfrac><mrow><mn>807</mn><mtext>&nbsp;kilograms</mtext></mrow><mrow><mn>1</mn><mtext>&nbsp;cubic&nbsp;meter</mtext></mrow></mfrac></mfenced></math>, or <math alttext=\"588.303\"><mn>588.303</mn>\n</math> kilograms. Rounding this mass to the nearest whole number gives <math alttext=\"588\"><mn>588</mn>\n</math> kilograms. Therefore, to the nearest whole number, the mass, in kilograms, of this sample is <math alttext=\"588\"><mn>588</mn>\n</math>.</p>\n<p>Choice B is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice C&nbsp;is incorrect and may result from conceptual or calculation errors.</p>\n<p>Choice D&nbsp;is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.829000+00:00","source_updated_at":"2023-08-02T20:25:59.829000+00:00","options":[{"label":"A","content_html":"<p style=\"text-align: left;\"><math alttext=\"588\"><mn>588</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p style=\"text-align: left;\"><math alttext=\"726\"><mn>726</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p style=\"text-align: left;\"><math alttext=\"897\"><mn>897</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p style=\"text-align: left;\"><math alttext=\"1,107\"><mn>1,107</mn>\n</math></p>","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}