If the volume of the tetrahedron formed by the coterminous edgcs a ,b and c is 4 , then the volume of the parallelopiped formed by the coterminous edges a b ,b c and c a is

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Correct answer: A. (a) As we know, the volume of tetrahedron formed by the coterminous edges a ,b and c. V= 16 (abc ) ⇒4= 16 (abc ) ∴ (abc )=24…..(i) Now, the volume of parallelopiped formed, by the coterminous edges a b ,b c and c a. V=(a bb cc a) ⇒V= (abc )^2 V= (24 )^2=576 ( from Eq . (i ) )

$If the volume of the tetrahedron formed by the coterminous edgcs a, b and c is 4 , then the volume of the parallelopiped formed by the coterminous edges a \times b, b \times c and c \times a is$

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