Answer:factor of 9
Explanation:
Given
prism were changed by a scale factor of 3
Suppose prism is rectangular in shape
So surface are is
![S.A.=2(lw+wb+lb)](https://img.qammunity.org/2021/formulas/mathematics/high-school/zcc4q2euhughshdloq7a752r006nljea5w.png)
Where l=length
w=width
b=breadth
So new length,breadth and width is
![l'=3l](https://img.qammunity.org/2021/formulas/mathematics/high-school/ax4erv7n22d6fju6htmqk9g87ahpqjf1w0.png)
![w'=3w](https://img.qammunity.org/2021/formulas/mathematics/high-school/bs7e8p2v171y7q31sc8g4ql8icc2tq05as.png)
![b'=3b](https://img.qammunity.org/2021/formulas/mathematics/high-school/ax5amhgbkd9wlwkmhs86wp63cy309zft8a.png)
![S.A.=2(3* 3lw+3* 3wb+3* 3lb)](https://img.qammunity.org/2021/formulas/mathematics/high-school/vbaidoh4g6k2f0jz3hz7zyw0rwcvo9ekpd.png)
![S.A.=2* 3^2(lw+wb+lb)](https://img.qammunity.org/2021/formulas/mathematics/high-school/njnq38552edstxdbrxlf2nb6tdm9x35lk6.png)
![S.A.=3^2* 2(lw+wb+lb)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5eoialwj2lcw2xgbnctlzmlhfy9e2v3yvw.png)
So new surface area would change by a factor of 9