#986 · Algebra · Functional equations

Find B from Root and Cube Variation

If $A$ varies directly as $B$ and inversely as $C^{3}$ , and $A = 3$ when $B = 256$ and $C = 2$ , find $B$ when $A = 24$ and $C = \frac{1}{2}$ .

~3 minAnswer checked instantlyDirect variationInverse variation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. III. Variation, Examples III, No. 11

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).