Answer :

=

We know that value of

From cube root table we get,

=

So by unitary method,

∵ For difference (180 – 170 = 10 ) difference in cube root values = 5.646 – 5.540 = 0.106

∴ For difference (175 – 170 = 5) difference in cube root values =

=

Hence,

=

Thus, the required cube root is 33.558.

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