Maths / Cube and Cube Roots / Perfect Cube

QUESTION
 

Which of the following numbers are the cube of a negative whole number? ( -64 , -2197 , -1056 ,  -3888 )

OPTIONS
A. 

-64 , -2197

B. 

-1056 , -3888

C. 

-64 , -1056

D. 

-2197 , -3888

Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

-64=(-4)^3;

-2197=(-13)^3 therefore -64 is the cube of (-4) and -2197 is the cube of (-13)

1056=overline{2X2X2}X2X2X3X11 therefore -1056 is not a cube of any negative number.

3888=overline{2X2X2}X2Xoverline{3X3X3}X3X3

It is clear that -3888 is not a cube of any negative number.

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