Question

Find the nearest integer to the cube root of $373248$.

Answer 1

For finding the nearest integer to the cube root of $373248$, let us split $373248$ as $373$ and $248$

Now, $7^3=343<373<512=8^3$

$⟹{70}^3=343000<373248<512000={80}^3$

$⟹373248$ lies between ${70}^3$ and ${80}^3$

Now, $373248$ is closer to ${70}^3$ than ${80}^3$

Let us go for more accurate result

${71}^3=357911<373248,{72}^3=373248$

Hence, the nearest integer to the cube root of $373248$ is $72$.