Question

what is the cube root of 0.001331

Answer 1

cube root of 0.001331

since ,we know that 11 is a cube root of 1331.

now you have to check what can be the cube root of 0.001331 .

here you can see , here is 6 decimal places.

so now , you could guess the required value.

if we multiply 0.11 three times then we will get the same value as it is mentioned above.

so now

0.001331 = 0.11 ×0.11 × 0.11 = ( 0.11 )^3

therefore cube root of 0.001331 = 0.11

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Your Answer : 0.11
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Answer 2

Answer:

The cube root of 0.001331 is $\frac{11}{100}$ i.e, 0.11.

Step-by-step explanation:

Consider a number x. The cube of a number is nothing but the number x multiplied three times. It is represented as $x^3.$

cube root is where we find the value $x^{\frac{1}{3} }$.

To find: Cube root of 0.001331

0.001331 can be rewritten as,

0.001331 = $10^{-6} \times 1331$

                = $\frac{1331}{1000000}$

                = $\frac{11\times 11\times 11\times 11}{2 \times 2\times 2\times 2\times2\times 2 \times 5\times5 \times5 \times 5\times5\times 5}$

                = $\frac{11^3}{2^6\times 5^6}$

                = $\frac{11^3}{(2\times 2\times 5\times5)^3}$

                = $\frac{11^3}{(100)^3}$

                = $(\frac{11}{100})^3$

               = $(0.11)^3$

Hence, the cube root of 0.001331 is $(0.11)^3$.

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