S.N. Chhibber Solutions for Chapter: Cubes and Cube Roots, Exercise 5: Revision Time

Find the cube root of $4913$ using prime factorization method.
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Find the cube root of $0.000216$ using prime factorization method.
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Find the cube root of $\frac{216}{512}$ using prime factorization method.
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Find the cube root of $0.000001728$ using prime factorization method.
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Find the smallest number by which $131712$ should be divided so that the resulting number is a perfect cube.

If the length of each side of a cube whose volume is $274.625$ ${\mathrm{cm}}^3$ is $k \mathrm{cm}$, then express the value of $k$ in the form of decimal.

Find the ratio of the volumes of two cubes whose sides are $2.6 \mathrm{cm}$ and $3.4 \mathrm{cm}$.

In a zoo, a tiger is kept in a $4.1 \mathrm{m}\times 4.1 \mathrm{m}\times 4.1 \mathrm{m}$ enclosure. Find the value of $\mathrm{k}$, if volume of the enclosure is $\mathrm{k} {\mathrm{m}}^3$.