Answer:
Surface area: 1216
Volume: 4608
Step-by-step explanation:
Scale factor: 5:8
This means that the dimensions of the larger figure are 8/5 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(8/5) by the original surface area(475). So
[tex]S = (\frac{8}{5})^2 \times 475 = \frac{64}{25} \times 475 = 64 \times 19 = 1216[/tex]
Volume:
The volume is found multiplying the cube of the change(8/5) by the original volume(1125). So
[tex]S = (\frac{8}{5})^3 \times 1125 = \frac{512}{125} \times 1125 = 512 \times 9 = 4608[/tex]