Chapter 6 Rational Exponents and Radical Functions - Standardized Test Practice - Extended Response - Page 472: 3b

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Given: $V=64\\L=s$ Obtain: $V=aLs^2\\64=as^3\\s^3=\frac{64}{a}\\s=\frac{4}{a^{1/3}}$ Substitute each constant: $s=\frac{4}{(0.433)^{1/3}}\approx5.29$ $s=\frac{4}{(1.72)^{1/3}}\approx3.34$ $s=\frac{4}{(2.6)^{1/3}}\approx2.91$ $s=\frac{4}{(4.83)^{1/3}}\approx2.37$ $s=\frac{4}{(7.69)^{1/3}}\approx2.03$