Question

In the Changing Dimensions of 3D Figures

Answer 1

Answer:factor of 9

Step-by-step explanation:

Given

prism were changed by a scale factor of 3

Suppose prism is rectangular in shape

So surface are is $S.A.=2(lw+wb+lb)$

Where l=length

w=width

b=breadth

So new length,breadth and width is

$l'=3l$

$w'=3w$

$b'=3b$

$S.A.=2(3\times 3lw+3\times 3wb+3\times 3lb)$

$S.A.=2\times 3^2(lw+wb+lb)$

$S.A.=3^2\times 2(lw+wb+lb)$

So new surface area would change by a factor of 9