Question

Need help finding this answer

Answer 1

Answer:
`648 \text{ cube cm}`

Step-by-step explanation:

When two solid figures are similar then,

`\text{ The ratio of their volume }= (\text{ ratio of their corresponding edges})^3`

Here Given prism having volume
`V_1` and
`V_2` are similar,

Thus, By the given figure,

`( V_2)/(24)= ((12)/(4))^3`

`( V_2)/(24)= (3)^3`

`( V_2)/(24)= 27`

`V_2= 27* 24=648\text{ cube cm}`

⇒ First Option is correct.

Answer 2

Answer: Option 1

Step-by-step explanation:

1. You know the lenght of both rectangular prism, therefore if both are similar, the scale factor is:

`sf=(12cm)/(4cm)\\sf=3`

2. Then the scale factor of the volumes is:

`sf_v=3^(3)\\sf_v=27`

3. Now, you must multiply the volume of the smalller rectangular prism by the scale factor obtained, then you obtain the following result:

`V_2=(24cm^(3))(27)=648cm^(3)`