A prism has a surface area of 176 cm2.

What is the surface area of a scaled image with a scale factor of 1 half?

____cm2

Question

A prism has a surface area of 176 cm2.
 
What is the surface area of a scaled image with a scale factor of 1 half?
 
  ____cm2

anonymous · Answer

@iGreen Please help me!

campbell_st · Answer

if you know the linear scaling fractor

the area scaling factor is the linear factor squared... 

the volume scaling factor is the linear factor cubed....

so square the scaling factor then multiply the answer by the surface area that you are given

anonymous · Answer

I'm really confused...

campbell_st · Answer

so what would the square of the scaling factor be?

anonymous · Answer

You can't do the linear scalling fractor if you don't have the side lengths, unless I'm incorrect about it

campbell_st · Answer

here is an example 

|dw:1427828011134:dw|

look at the 2 rectangles... the scaling factor for the linear measurements is 1/2 

what is the area or A  and what is the area of B..?

what is the scaling factor of the areas..?

campbell_st · Answer

so to explain it

area A is 8   area B = 2     

or   Area B is 1/4 of area a

and using the linear scaling factor

(1/2)^2 = 1/4

which is also the same as 

Area B = (1/2)^2 x 8
           = 2 

that's why you need to square the scaling factor... then multiply by the area

hope it makes sense