Abhishek Chauhan and Vivek Singhal Solutions for Chapter: Cubes and Cube Roots, Exercise 4: Chapter Test

Evaluate ${\left(1\frac{2}{5}\right)}^3$.

What is the smallest number by which $392$may be divided so that the quotient is a perfect cube$?$

Three numbers are in ratio to one another $2:3:4$. The sum of their cubes is $33957$. Find the numbers.

Find the cube root of $0.000001$.

If the cube root of $\frac{343}{0.027}$ is $\frac{m}{n}$ and $\frac{m}{n}$ is in its simplest form, then find $m+n$

Find the sum of cubes of first four natural numbers.

Find the smallest number, by which $8788$ must be divided so that the quotient is a perfect cube.

If the volume of a cube, whose total surface area is $486 {\mathrm{cm}}^2$ is $k {\mathrm{cm}}^2$ then find $k$.