Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Problem Solving - Page 419: 65b

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The volume formula: $V=ax^3 $ when solving for $x$: $x=(\frac{V}{a})^{\frac{1}{3}}$ The edge length x for the Tetrahedron: $x=(\frac{4096}{0.118})^{\frac{1}{3}}\approx32.62$ The edge length x for the Octahedron: $x=(\frac{4096}{0.471})^{\frac{1}{3}}\approx20.56$ The edge length x for the Dodecahedron: $x=(\frac{4096}{7.663})^{\frac{1}{3}}\approx8.12$ The edge length x for the Icosahedron: $x=(\frac{4096}{2.182})^{\frac{1}{3}}\approx12.34$