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Rzqust [24]
2 years ago
13

Need help figuring out this answer

Mathematics
1 answer:
creativ13 [48]2 years ago
6 0

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}

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