Let a = m /n be a rational number

(m, n are non zero integers such that n ≠ + or – 1) other than an integer, then the cube of a is defined as

a

(m/n)

1) Find (2/3)

(2/3)

_______________________________________________________________

2) Find

= 37

= 37 x 37 x 37/ 7 x 7 x 7

= 50653/343

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3) Find

= 31

= 31 x 31 x 31/ 10 x 10 x 10

= 29791/1000

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4) Find (-6/11)

(-6/11)

= (-6) x (-6) x (-6)/ 11 x 11 x 11

= -216 /1331

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5) Find (-1/10)

(-1/11)

= (-1) x (-1) x (-1)/ 10 x 10 x 10

= -1 /1000

__________________________________________________________________

6) Find (a/8)

(a/8)

= (a) x (a) x (a)/ 8 x 8 x 8

= a

• Cube-Numbers

• Perfect- Cube

• Properties : Cube

• Cube - Column method

• Negative numbers-cube

• Cube of Rational numbers

• Cube-Root

• Finding cube-root by Prime Factorization

• Cube- root of Rational numbers

• Estimating cube -root

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