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The cube root of a number is between 10 and 11 which of the following could be the value of that number?

Respuesta :

Hello from MrBillDoesMath!

Answer:    Choice B (1061)

Discussion:

Let "x" be the unknown number. We are given that

    10 < x ^ (1/3)  < 11

where  ^(1/3) denotes the cube root.

Cube all terms in the equation to get

10^3 < x < 11^3  or

1000 < x <  1331

Given the choices:

A:105

B:1061

C:10.61

D:1400


only choice B (1061) could  be the answer.


Thank you,

MrB

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