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Find the volume, lateral surface area and total surface area of a regular tetrahedron whose edge is 16 cm.

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Volume of a regular tetrahedron = \(\frac{\sqrt{2}}{12} (edge)^2\) = \(\frac{\sqrt{2}}{12}\times 16^2\) 

\(\frac{\sqrt{2}\times 256}{12} \) cm \(\frac{64\sqrt{2}}{3} \) cm3

Lateral surface area = \(\frac{3\sqrt{3}}{4} (edge)^2 =\frac{3\sqrt{3}}{4} 16^2\) 

= 192\(\sqrt{3}\) cm2

Total surface area =\({\sqrt{3}} (edge)^2 = {\sqrt{3}} \times 16^2\) cm2 = 256\(\sqrt{3}\) cm2

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