Question

Waht happends to the fcube fo a number if the unmber is multiplied by
(i) 3 ? (ii) 4 ? (iii) 5 ?

Answer 1

Let x be the given number
$\therefore (x{)}^3=x^3$
(i) If x is multiplied by 3, then the cube of
$(3x{)}^3=(3{)}^3\times x^3=27x^3$
$\therefore$ The cube of the resulting nuumber is 27 times of cube of the gien number
(ii) If x is multiplied by 4, then the cube of $(4x{)}^3$
$=(4{)}^3\times x^3=64x^3$
$\therefore$ The cube of the resulting number is 64 times of the cube of the given number
(iii) If x is multiplied by 5, then the cube of
$(5x{)}^3=(5{)}^3\times x^3=125x^3$
$\therefore$ The cube of the resulting number is 125 times of the cube of the given number