What will be the volume of pyramid if base of pyaramid is a square of side 12 m. and slant height is 10 m.? 12 मी. भुजा वाले वर्गाकार आधार के पिरामिड का आयतन क्या होगा यदि तिर्यक ऊचाई 10 मी० है?
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384 cubic metres/घन मीटर
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446 cubic metres/घन मीटर
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576 cubic metres/घन मीटर
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856 cubic metres/घन मीटर
A
Correct answer
Explanation
Square base with side 12m, so base area = 12 × 12 = 144 m². Perimeter of base = 4 × 12 = 48 m. Slant height l = 10 m. Using Pythagorean theorem: height h = √(10² - 6²) = √(100-36) = √64 = 8 m (where 6m = half of side). Volume = (1/3) × base area × height = (1/3) × 144 × 8 = 384 m³.