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If the length of each side of a regular tetrahedron is 12 cm, then the volume of the tetrahedron is(a) 144 \(\sqrt{2}\) cu. cm (b) 72\(\sqrt{2}\) cu. cm (c) 8 \(\sqrt{2}\) cu. cm (d) 12 \(\sqrt{2}\) cu. cm |
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Answer» Answer: (a) = 144\(\sqrt{2}\) cu.cm. Volume of a regular tetrahedron = \(\frac{\sqrt{2}}{12} (edge)^3\) = \(\frac{\sqrt{2}}{12} (12)^3\) = 144 \(\sqrt{2}\) cu.cm. |
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