Question

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Answer 1

Answer:
`260 \text{ cube cm}`

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}} = ((8)/(4) )^3`

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

⇒
`\frac{\text{ volume of prism B}}{2080} =(1)/(8)`

⇒
`\text{ volume of prism B} =(2080)/(8)`

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