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the volume of the dilated cube is  9375

below is the solution:

75 * 5^3
= 9375
kudzordzifrancis
ANSWER

The volume of the dilated cube is 9375cm³.


EXPLANATION

The volume of the original cube is 75 cm³.



The scale factor for the dilation is 5.


The scale factor for volume is 5³=125


We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.


The volume of the dilated cube is

[tex]Volume=125 \times 75[/tex]

[tex]Volume=9375 \: {cm}^{3} [/tex]