A tetrahedron is a polyhedron with four equilateral triangles as its faces [Figure 6(B)]. The volume V

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A tetrahedron is a polyhedron with four equilateral triangles as its faces [Figure 6(B)]. The volume V and surface area of a tetrahedron are expressed in terms of the side-length L of the triangles by V(L) = √2L3/12 and S (L) = √3L2, respectively. Determine L(V), the side length as a function of volume. Then determine S (V), the surface area as a function of volume, by computing the composite S ◦ L(V).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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