Answer :
EXPLANATION
If two cubes have lengths= 8cm and 3 cm respectively, the ratio between them is as follows:
[tex]\text{Volume}_{cube\text{ 8 cm}}=8\cdot8\cdot8=8^3=512\operatorname{cm}^3[/tex][tex]\text{Volume}_{cube\text{ 3cm}}=3\cdot3\cdot3=3^3=27cm^3[/tex]Then, the ratio is given by the relationship between both volumes:
[tex]ratio_{cubes}=\frac{volume_{cube\text{ 8cm}}}{volume_{\text{cube 3cm}}}=\frac{8\cdot8\cdot8}{3\cdot3\cdot3}=\frac{8^3}{3^3}=512\colon27[/tex]The ratio of their respective volumes is 512:27