Answer: [tex]260 \text{ cube cm}[/tex]
Step-by-step explanation:
If the two shapes are similar then, by the property of similarity,
[tex]\text{ The ratio of the volume of the shapes} = (\text{ the ratio of the corresponding edges})^3[/tex]
Here Prism A and prism B are similar,
⇒ [tex]\frac{\text{ volume of prism A}}{\text{ volume of prism B}} = (\frac{8}{4} )^3[/tex]
⇒ [tex]\frac{ 2080}{\text{ volume of prism B}} = (2)^3[/tex]
⇒ [tex]\frac{\text{ volume of prism B}}{2080} =\frac{1}{8}[/tex]
⇒ [tex]\text{ volume of prism B} =\frac{2080}{8}[/tex]
⇒ [tex]\text{ volume of prism B} =260\text{ cube cm}[/tex]
