Question
If the lateral surface area (3
faces) of a regular tetrahedron is 75√3 cm2, find its volume.Solution
ATQ, LSA = 3*(√3/4)*a2 = (3√3/4)*a2 (3√3/4)*a2 = 75√3 (3/4)*a2 = 75 a2 = 100 a = 10 cm Volume: V = a3/(6√2) V = 103/(6√2) = 1000/(6√2) = 500/(3√2) = (250√2)/3 cm3 FINAL ANSWER: (250√2)/3 cm3
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