Filling in the scale factor chart.

Question

anonymous · Answer

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anonymous · Answer

Number 11.

p0sitr0n · Answer

its easy. the factor is k^2 when its are and k^3 when its volume. dividing areas will give 0.111(1/9) =k^2. so k = 1/3

anonymous · Answer

Yeah, but since it's area, don't I have to square it?

p0sitr0n · Answer

so the volume is 12 * k^3 = 12* 1/27 = 12/27 = 4/9

p0sitr0n · Answer

no, they ask you for k, not for k^2. you find it by dividing the areas. after, square root

anonymous · Answer

For the volume, I got 5748, by cubing 1/9. is it right? @P0sitr0n

p0sitr0n · Answer

when u cube 1/9, u get $$1^3/3^3=1/27$$
remember, your k is the relation between your sides. K^2 is the area relation, and volume is k^3. So, to find k, u have to
area1/area2 = k^2 , sqrt(k)
when u find it, remember to check in which dimension u are. 
1 dimension is side = k^1
2 dimension is area = k^2 (like cm^2)
3 dimension is volume =k^3 (like cm^3)

anonymous · Answer

How does 1/9=1/27?

p0sitr0n · Answer

look. your k = 1/3.
you CAN NOT pass from are to volume, as you can not pass from k^2 to k^3
1/9 is k^2, so all you have to do is $$\sqrt{1/9}$$
this is your k = 1/3
now you get it in ^3, so (1/3)^3 is 1/27