Question
Download Solution PDFIf the volume of a regular tetrahedron is 18√2 cm3, then find the lateral surface area of the tetrahedron.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The volume of a regular tetrahedron is 18√2 cm3
Calculation:
Let the edge length of regular tetrahedron be a cm
Now, according to question
√2/12 × a3 = 18√2
⇒ a3 = 216
So, a = 6 cm
So, lateral surface area = 3 × area of one lateral face
⇒ 3 × √3/4 × 62
∴ 27√3 cm2
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