Using cube tables, find the cube root of 85.9.

Explanation

`85 < 85.9 < 86`

` therefore root(3)85 < root(3)85.9 < root(3)86`

`"From the cube root table, we have"`:

`=>root(3)85=4.397 and root(3)86=4.414`

` therefore 4.397<85.9<4.414`

`"For the difference of " 86-85=1, "the difference in the cube root values" = 4.414−4.397=0.017`

`"hence for the difference of (85.9-85=0.9), the difference in the cube root value is:"`

`=>0.017/1 xx 0.9= 0.0153`

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