The unit's digit of the cube of a number is $9$. The unit's digit of it cube root is _____.

The cube of a number $x$ is nine times of $x$, then find $x$ (where $x\ne 0$ and $x\ne -3$).

Two cubes have volumes in the ratio $1:27$. The ratio of the area of the face of one to that of the other is _____.

The smallest number by which $392$ must be multiplied so that the product is a perfect cube, is _____.

Mohit gave a problem to Samrath.

Difference of two perfect cubes is $189$. If the cube root of the smaller of the two numbers is $3$, find the cube root of the large number.

Help Samrath to answer the question.

A tank is in the form of a cube whose volume is $9261000 {\mathrm{m}}^3$. Find the length of side of the tank

Atul made a cuboid of plasticine. Length, breadth and height of the cuboid are $25 \mathrm{cm}, 25 \mathrm{cm}$ and $50 \mathrm{cm}$. How many minimum such cuboids he needs to make a perfect cube?

To collect rain water, Mini made a cubical tank which can hold $91125 {\mathrm{m}}^3$ water. She uses this water for watering the plants of her garden. What is the height of the tank?

The cube root of $0.003375=$_____.