{"id":"cb_question_bank:84a336da-0788-4ead-a92a-282eaaed544a","source_id":"cb_question_bank","source_item_id":"84a336da-0788-4ead-a92a-282eaaed544a","external_id":"395e8a55-7af9-456e-a433-3d4a89ade971","ibn":null,"question_id":"9f934297","program":"SAT","module":"math","domain_code":"S","domain":"Geometry and Trigonometry","skill_code":"S.A.","skill":"Area and volume","difficulty":"H","score_band":6,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A right rectangular prism has a length of 28 centimeters left parenthesis cm right parenthesis , a width of 15 cm , and a height of 16 cm . What is the surface area, in cm squared , of the right rectangular prism?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">A right rectangular prism has a length of <math alttext=\"28 centimeters left parenthesis cm right parenthesis\"><mrow><mn>28</mn></mrow><mo>&nbsp;</mo><mtext>centimeters</mtext><mo>&nbsp;</mo><mfenced><mtext>cm</mtext></mfenced></math>, a width of <math alttext=\"15 cm\"><mrow><mn>15</mn></mrow><mo>&nbsp;</mo><mtext>cm</mtext></math>, and a height of <math alttext=\"16 cm\"><mrow><mn>16</mn></mrow><mo>&nbsp;</mo><mtext>cm</mtext></math>. What is the surface area, <math alttext=\"in cm squared\"><mtext>in</mtext><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>, of the right rectangular prism?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"2,216\"><mn>2,216</mn>\n</math>. The surface area of a prism is the sum of the areas of all its faces. A right rectangular prism consists of six rectangular faces, where opposite faces are congruent. It's given that this prism has a length of <math alttext=\"28 cm\"><mn>28</mn><mo>&nbsp;</mo><mtext>cm</mtext></math>, a width of <math alttext=\"15 cm\"><mn>15</mn><mo>&nbsp;</mo><mtext>cm</mtext></math>, and a height of <math alttext=\"16 cm\"><mn>16</mn><mo>&nbsp;</mo><mtext>cm</mtext></math>. Thus, for this prism, there are two faces with area <math alttext=\"left parenthesis 28 right parenthesis left parenthesis 15 right parenthesis cm squared\"><mfenced><mn>28</mn></mfenced><mfenced><mn>15</mn></mfenced><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>, two faces with area <math alttext=\"left parenthesis 28 right parenthesis left parenthesis 16 right parenthesis cm squared\"><mfenced><mn>28</mn></mfenced><mfenced><mn>16</mn></mfenced><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>, and two faces with area <math alttext=\"left parenthesis 15 right parenthesis left parenthesis 16 right parenthesis cm squared\"><mfenced><mn>15</mn></mfenced><mfenced><mn>16</mn></mfenced><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>. Therefore, the surface area, <math alttext=\"in cm squared\"><mtext>in</mtext><mo>&nbsp;</mo><msup><mtext>cm</mtext><mn>2</mn></msup></math>, of the right rectangular prism is <math alttext=\"2 left parenthesis 28 right parenthesis left parenthesis 15 right parenthesis plus 2 left parenthesis 28 right parenthesis left parenthesis 16 right parenthesis plus 2 left parenthesis 15 right parenthesis left parenthesis 16 right parenthesis\"><mn>2</mn><mfenced><mn>28</mn></mfenced><mfenced><mn>15</mn></mfenced><mo>+</mo><mn>2</mn><mfenced><mn>28</mn></mfenced><mfenced><mn>16</mn></mfenced><mo>+</mo><mn>2</mn><mfenced><mn>15</mn></mfenced><mfenced><mn>16</mn></mfenced></math>, or <math alttext=\"2,216\"><mn>2,216</mn>\n</math>.</p>","correct_answer":["2216"],"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":[],"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}}