Multiple choice

If the slant height of a right pyramid with square base is 4 m and the slant surface area is 12 m2, then the ratio of slant surface area and total surface area is- यदि वर्गाकार आधार वाले एक पिरामिड की तिर्यक ऊँचाई 4 मी. है और इसका तिर्यक पृष्ठ क्षेत्रफल 12 मी2 है तो इसके तिर्यक पृष्ठ क्षेत्रफल और सम्पूर्ण पृष्ठ क्षेत्रफल का अनुपात ज्ञात कीजिए।

  1. 16 : 19

  2. 16 : 17

  3. 17 : 19

  4. 17 : 20
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A Correct answer
Explanation

For a square pyramid with slant height 4 m and slant surface area 12 m², we find: slant surface area = (1/2) × perimeter × slant height, so 12 = (1/2) × 4p, giving perimeter p = 6 m. Each side of base = 6/4 = 1.5 m, so base area = 1.5 × 1.5 = 2.25 m². Total surface area = 12 + 2.25 = 14.25 m². Ratio = 12/14.25 = 48/57 = 16/19.

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