Question

If (8/15)cube - (1/3)cube - (1/5)cube = x/75 . Then find the value of x.

Answer 1

${( \frac{8}{15}) }^{3} - { (\frac{1}{3} )}^{3} - {( \frac{1}{5} )}^{3} = \frac{x}{75} \\ \frac{512}{3375} - \frac{1}{27} - \frac{1}{125} = \frac{x}{75} \\ \frac{512 - 125 - 27}{3375} = \frac{x}{75} \\ \frac{x}{75} = \frac{360}{3375} \\ x = \frac{360 \times 75}{3375} \\ x = \frac{40}{3}$