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In the Changing Dimensions of 3D Figures
section, if a prisms dimensions were
changed by a scale factor of 3, how would
the surface area change?*
O
It would stay the same
O
It would change by a scale factor of 3.
It would change by a scale factor of 6.
O
It would change by a scale factor of 9.
O
It would change by a scale factor of 27.

Respuesta :

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 [tex]S.A.=2(lw+wb+lb)[/tex]

Where l=length

w=width

b=breadth

So new length,breadth and width is

[tex]l'=3l[/tex]

[tex]w'=3w[/tex]

[tex]b'=3b[/tex]

[tex]S.A.=2(3\times 3lw+3\times 3wb+3\times 3lb)[/tex]

[tex]S.A.=2\times 3^2(lw+wb+lb)[/tex]

[tex]S.A.=3^2\times 2(lw+wb+lb)[/tex]

So new surface area would change by a factor of 9

Answer:

facter of 9 (people with ads)

Step-by-step explanation:

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