{"id":"cb_practice_pdf:t11-math-m1-q26","source_id":"cb_practice_pdf","source_item_id":"t11-math-m1-q26","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-11","module_number":1,"position":26,"stem":"26 A right rectangular prism has a base area of 24t squarecentimeters cm^2. The length of the base ^ 8 of the rectangular prism is h/3 cm, and the height of the rectangular prism is 15cm. Which expression represents the surface area, in cm^2, of the right rectangular prism? +","stimulus":"","stimulus_html":null,"stem_html":"<p>26 A right rectangular prism has a base area of 24t squarecentimeters cm^2. The length of the base ^ 8 of the rectangular prism is h/3 cm, and the height of the rectangular prism is 15cm. Which expression represents the surface area, in cm^2, of the right rectangular prism? +</p>","rationale_html":"<p>Choice B is correct. It’s given that the base area of the right rectangular prism is 24 cm2 8 cm t and the length of the base is 3 . Dividing the base area by the length 2 8 4 t 24 3 9 cm yields the width: 3 , or ^ tha8k, or t . It’s also given that the height of the 15cm prism is . A right rectangular prism has two rectangular bases and four 2 24 48 cm2 rectangular lateral faces. The total area of the t 8 wo bases is ^ th, or t . The cm 15cm four lateral faces include two with dimensions 3 by and two with 9 cm 15cm dimensions t by . The total area of these four lateral faces is 2 8 15 +2 9 15 cm2 80+270 cm2 a3k^ h ^ th^ h , which is equivalent to t . Adding this to the 48 +270 +80 318 +80cm2 total area of the two bases yields t t , or t . Thus, the cm2 expression, which represents the surface area, in , of the right rectangular 318 +80 prism is t . Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. cm3 cm2 Choice D is incorrect. This is the volume, in , not the surface area, in .</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>48t 160 +</p>","ord":0},{"label":"B","content_html":"<p>318t 80 +</p>","ord":1},{"label":"C","content_html":"<p>1,968t 80</p>","ord":2},{"label":"D","content_html":"<p>360t ST</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}