Question

Take a number x, and multiply it with 8. Find the ratio of cube of this number to the cube of the original number

Answer 1

x×8=8x
ratio
$\frac{ {(8x)}^{3} }{ {x}^{3} } \\ = \frac{512}{1}$
=512:1

Answer 2

Step 1
Multiply the number x with 8
The resulting number is 8x

Step 2
Cube of the resulting number..
$(8 {x})^{3}$
= $512 {x}^{3}$

Step 3
Original number's cube
= $x {}^{3}$

Step 4
Ratio of new number to the original number
$\frac{new \: number}{original \: number}$
= $\frac{512x {}^{3} }{x {}^{3} }$

= $\frac{512}{1}$
= 512 : 1

The ratio of new number to the original number is 512 : 1.
______________________________
This is the answer.
Hope it helps you.