Question
The lateral surface area of a regular tetrahedron is
75√3 cm². Determine the volume of the tetrahedron.Solution
ATQ,
Let the edge length of the tetrahedron be 's' cm
Lateral surface area = 3 × (√3/4) × s²
ATQ;
75√3 = 3 × (√3/4) × s²
Or, s² = 100
So, s = 10
Volume = (√2/12) × s³
= (√2/12) × 10 × 10 × 10
= 250√2 cm³
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