Cube Roots

The volume of a school building is $132651 {\mathrm{m}}^3$. If the length, breadth, and height of the school building values were equal then find the length of the school building. 

Find the cube root of $\frac{{\left(x+2\right)}^6}{{\left(y+3\right)}^3}$

Using the method estimation find the cube root of $3375$.

Find the value of $\sqrt[3]{125}$

Find the value of $\sqrt[3]{-27}$

Find the value of $\sqrt[3]{64}$

Find the cube root of $6859$.

Find: $\sqrt[3]{216}$

If we can write the cube root of $8$ as $\sqrt[x]{y}$, then what is the value of $x$.

Writing the cube root of $64$ in exponential form, we get ${\left(64\right)}^{\frac{1}{k}}$.

Write the value of $k$.

Identify the radical and radicands of the following-

$\sqrt{x}, \sqrt[3]{27}, \sqrt{y^2}$

By prime factorisation find whether $2097152$ is a perfect cube?

Find the smallest number by which $675$ must be divided to obtain a perfect cube.

The volume of a cube is $8,04,357 \mathrm{cubic} \mathrm{cm}$. If the length of each side of the cube is $k \mathrm{cm}$, then find the value of $k$.

What will be the ones digits of the cube root of $1,03,823$?

What will be the number of digits in the cube root of $39304$?( write the final answer in numerals)

$\sqrt[3]{k}=\sqrt[3]{4}\times \sqrt[3]{5}\times \sqrt[3]{6}$, then $k=$_____.

Evaluate: $\sqrt[3]{\frac{0.027}{0.008}}÷\sqrt{\frac{0.09}{0.04}}-1$

To collect rainwater, Mini made a cubical tank that can hold $91125 {\mathrm{m}}^3$ water. She uses this water for watering the plants of her garden. If the height of the tank is $k \mathrm{cm}$, then find the value of $k$.

There are some students in a class. Each student donated as many rupees as the square of the number of students in the class in the Flood Victim Relief Fund. If the total donation is $₹29791$, then find the number of students in the class.