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=$\overline{2X2X2}X2X\overline{3X3X3}X3X3$

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

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