Monicaa Abhijit Solutions for Chapter: Cubes and Cube Roots, Exercise 4: EXERCISE 4.4

Evaluate the following:

$\sqrt[3]{-125\times 729}$

Find the smallest number by which $-6,125$ should be multiplied to make it a perfect cube.

Find the smallest number by which$-250$should be divided to make it a perfect cube.

The volume of a cuboidal box is $35.937 {\mathrm{m}}^3$.Find the side of the box.

The volume of a cube is $\frac{2,197}{729 } {\mathrm{cm}}^3$. Find its side.

Three numbers are in the ratio $3:4:5$ The sum of their cubes is $0.001728$. Find the numbers.

Three numbers are in the ratio $2:3:5$. The sum of their cubes is $54,880$. Find the numbers.

Two numbers are in the ratio$2 : 3$. The difference of their cubes is $9,728$. Find the numbers.