# Find Which of the Following Number Is Cube of Rational Number 0.001331 . - Mathematics

Sum

Find which of the following number is  cube of rational number 0.001331 .

#### Solution

We have:

$0 . 001331 = \frac{1331}{1000000} = \frac{11 \times 11 \times 11}{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} = \frac{{11}^3}{\left( 2 \times 2 \times 5 \times 5 \right)^3} = \frac{{11}^3}{{100}^3} = \left( \frac{11}{100} \right)^3$
Therefore,
$0 . 001331$   is a cube of $\frac{11}{100}$ .

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.2 | Q 5.3 | Page 13