Respuesta :

frika
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. If the scale factor is greater than 1, the image is an enlargement.  

If a figure is enlarged by a factor of five, the length will be five times greater, the width will be five times greater and the height will be five times greater.The volume will therefore be [tex]5^3[/tex] greater.

Hence
 [tex]V_{dilated}=5^3\cdot V_{initial}, \\ v_{dilated}=5^3\cdot 75=125\cdot 75=9375 cm^3.[/tex]


Volume of cube =75[tex] cm^{3} [/tex]

Volume of cube = length * width * height

A cube is dilated by factor 5 , which means the length, width and height each will be dilated by factor 5.

Volume of cube = (5* length) * (5*width) *(5* height)

Volume of cube = (5*5*5) *(length * width * height)

Volume of cube = 125 * 75

Volume of cube = 9375 [tex] cm^{3} [/tex]