Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Cubes and Cube Roots, Exercise 4: Exercise 3.2

Using the method of estimation, find the cube root of $175616$.

Find the cube root of the following expression:

$64a^3{b}^6$.

Find the cube root of the following expression:

$8p^9$.

Find the cube root of the following expression:

$x^3{y}^3{z}^3$.

Evaluate $\sqrt[3]{-0.343}$

Evaluate $\sqrt[3]{-4\frac{12}{125}}$

Find the smallest number which when multiplied to $5400$ will make the product a perfect cube. Also, find the cube root of the product.

Find the number by which $55296$ should be divided so that the quotient is a perfect cube. Also, find the cube root of the quotient.