{"id":"cb_question_bank:d3d5318a-c5ed-4c29-ad29-a61abf07b5b6","source_id":"cb_question_bank","source_item_id":"d3d5318a-c5ed-4c29-ad29-a61abf07b5b6","external_id":null,"ibn":"038033-DC","question_id":"f7e626b2","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":"mcq","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches. What is the surface area, in square inches, of the prism?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The dimensions of a right rectangular prism are 4&nbsp;inches by 5&nbsp;inches by 6&nbsp;inches. What is the surface area, in square inches, of the prism?</p>\n","rationale_html":"<p>Choice D is correct. The surface area is found by summing the area of each face. A right rectangular prism consists of three pairs of congruent rectangles, so the surface area is found by multiplying the areas of three adjacent rectangles by 2 and adding these products. For this prism, the surface area is equal to <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/072d0e903788a204f208f6bc5ff929cf376d57782370a1b1050c05c7b1a98955\" alt=\"2 times, open parenthesis, 4 times 5, close parenthesis, plus, 2 times, open parenthesis, 5 times 6, close parenthesis, plus, 2 times, open parenthesis, 4 times 6, close parenthesis\"></span>, or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/12e24d7af97fd47c33d050d00d650214f9e048e31b38262f1553f927fb1cf6db\" alt=\"2 times 20, plus, 2 times 30, plus, 2 times 24\"></span>, which is equal to 148.</p><p>Choice A is incorrect. This is the area of one of the faces of the prism. Choice B is incorrect and may result from adding the areas of three adjacent rectangles without multiplying by 2. Choice C is incorrect. This is the volume, in cubic inches, of the prism.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.627000+00:00","source_updated_at":"2023-08-02T20:25:59.627000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">30</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">74</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">120</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">148</p>\n","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}}