Jharne De and Ranjana Kumar Solutions for Chapter: Square and Square Root; Cube and Cube Root, Exercise 5: Test Paper 1

Find the value of the following:

$\sqrt[3]{1125\times 1944}$

Find the value of the following:

$\sqrt[3]{274.625}$

Find the value of the following:

$\sqrt[3]{\frac{5832}{6859}}$

Find the volume of a cube if each of its side measures $5.2 \mathrm{cm}$.

Find the smallest number by which $2025$ must be multiplied to make it a perfect cube. Also find the cube root of the number thus obtained.

Find the smallest number by which $140625$ must be divided, so that the quotient thus obtained is a perfect cube. Also find the cube root of the number thus obtained.

Find the edge of a cube whose volume is $166.375 {\mathrm{cm}}^3$.

The sum of the cubes of three numbers is in the ratio $1:3:4$ is $17576$. Find the numbers.