AP Police SI previous year question
A cube built from 216 unit cubes (6×6×6) has one unit cube removed from every corner. The surface area (sq. units) of the resultant structure is
Asked in AP Police SI Prelims: 2023 (Paper I & II) · Quantitative Aptitude
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Correct answer: (C) 216
Removing a corner unit cube removes 3 unit-square faces from the outer surface but exposes 3 new (previously internal) unit-square faces. Net change per corner = 0, so surface area is unchanged: 6×6² = 216.
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हिंदी में प्रश्न
216 इकाई घनों (6×6×6) से बना एक घन है, जिसके प्रत्येक कोने से एक इकाई घन हटा दिया गया है। परिणामी संरचना का पृष्ठीय क्षेत्रफल (वर्ग इकाई) है
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सही उत्तर: (C) 216
किसी कोने की इकाई घन को हटाने से बाहरी सतह से 3 इकाई-वर्ग फलक हटते हैं, लेकिन 3 नए (पहले आंतरिक) इकाई-वर्ग फलक उजागर होते हैं। प्रत्येक कोने पर शुद्ध परिवर्तन 0 है, इसलिए सतह क्षेत्रफल अपरिवर्तित रहता है: 6×6² = 216।
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