Respuesta :

The smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

Perfect cube quotient of a division

The given number is 29160

Note that:

29160 can be factored into 5832

That is, 29160 = 5832 x 5

Take the cube of 5832:

[tex]\sqrt[3]{5832}=18[/tex]

Since it has been confirmed that 5832 is a perfect cube, the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

Learn more on perfect cube quotient here: https://brainly.com/question/17448146

#SPJ1