{"id":"cb_question_bank:32c229fd-cbc4-425e-ac88-0905ccf7ed4f","source_id":"cb_question_bank","source_item_id":"32c229fd-cbc4-425e-ac88-0905ccf7ed4f","external_id":"b609067c-22bb-404f-a813-9e197c6b487c","ibn":null,"question_id":"e336a1d2","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.A.","skill":"Area and volume","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A cube has an edge length of 41 inches. What is the volume, in cubic inches, of the cube?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A cube has an edge length of <math alttext=\"41\"><mn>41</mn>\n</math> inches. What is the volume, in cubic inches, of the cube?</p>","rationale_html":"<p style=\"text-align: left;\">Choice D is correct. The volume, <math alttext=\"upper V\"><mi>V</mi>\n</math>, of a cube can be found using the formula <math alttext=\"upper V equals s cubed\"><mi>V</mi><mo>=</mo><msup><mi>s</mi><mn>3</mn></msup></math>, where <math alttext=\"s\"><mi>s</mi>\n</math> is the edge length of the cube. It's given that a cube has an edge length of <math alttext=\"41\"><mn>41</mn>\n</math> inches. Substituting <math alttext=\"41\"><mn>41</mn>\n</math> inches for <math alttext=\"s\"><mi>s</mi>\n</math> in this equation yields <math alttext=\"upper V equals 41 cubed\"><mi>V</mi><mo>=</mo><msup><mn>41</mn><mn>3</mn></msup></math> cubic inches, or <math alttext=\"upper V equals 68,921\"><mrow>\n\t<mi>V</mi>\n\t<mo>=</mo>\n\t<mn>68,921</mn>\n</mrow>\n</math> cubic inches. Therefore, the volume of the cube is <math alttext=\"68,921\"><mn>68,921</mn>\n</math> cubic inches.</p>\n<p>Choice A is incorrect. This is the perimeter, in inches, of the cube.</p>\n<p>Choice B is incorrect. This is the area, in square inches, of a face of the cube.</p>\n<p>Choice C is incorrect. This is the surface area, in square inches, of the cube.</p>","correct_answer":["D"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.836000+00:00","source_updated_at":"2023-08-02T20:25:59.836000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"164\"><mn>164</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"1,681\"><mn>1,681</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"10,086\"><mn>10,086</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"68,921\"><mn>68,921</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}}