Answer:
[tex]8000[/tex]
Step-by-step explanation:
[tex]V[/tex] = Volume of the cube = [tex]64\ \text{m}^3[/tex]
[tex]k[/tex] = Scale factor = [tex]5[/tex]
Volume increases by the cube of the scale factor, So
Volume of new cube will be
[tex]V'=k^3V[/tex]
[tex]\Rightarrow V'=5^3\times 64[/tex]
[tex]\Rightarrow V'=125\times 64[/tex]
[tex]\Rightarrow V'=8000\ \text{m}^3[/tex]
Volume of the new cube is [tex]8000[/tex].
