Question

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Answer 1

Answer: $260 \text{ cube cm}$

Step-by-step explanation:

If the two shapes are similar then, by the property of similarity,

$\text{ The ratio of the volume of the shapes} = (\text{ the ratio of the corresponding edges})^3$

Here Prism A and prism B are similar,

⇒ $\frac{\text{ volume of prism A}}{\text{ volume of prism B}} = (\frac{8}{4} )^3$

⇒ $\frac{ 2080}{\text{ volume of prism B}} = (2)^3$

⇒ $\frac{\text{ volume of prism B}}{2080} =\frac{1}{8}$

⇒ $\text{ volume of prism B} =\frac{2080}{8}$

⇒ $\text{ volume of prism B} =260\text{ cube cm}$