Question

Making use of the cube root table, find the cube root
0.27

Answer 1

The number 0.27 can be written as \[\frac{27}{100}\] .

Now 

\[\sqrt[3]{0 . 27} = \sqrt[3]{\frac{27}{100}} = \frac{\sqrt[3]{27}}{\sqrt[3]{100}} = \frac{3}{\sqrt[3]{100}}\]

By cube root table, we have: 

\[\sqrt[3]{100} = 4 . 642\]

∴ \[\sqrt[3]{0 . 27} = \frac{3}{\sqrt[3]{100}} = \frac{3}{4 . 642} = 0 . 646\]

Thus, the required cube root is 0.646.