Question

I need help with two questions.
What is the surface area of the box if it is scaled up by a factor of 10? The surface area of my box is 106
And What is the volume of the box if it is scaled down by a factor of 1/10? the volume of the box was 40. I thought I had gotten them right but my teacher told me I was wrong :,)

Answer 1

This can be a bit tricky - if you scale up by a factor of 10, the surface area actually gets scaled up by a factor of 10*10. In general, using a linear scale factor k scales up surface area by k^2, since surface area is a square unit.

With volume, you’re working with a cubed unit, so the volume gets scaled up by 10 * 10 * 10.

Answer 2

I can only help with one of these questions

Answer 3

which is the second

Answer 4

Yeah that is a bit tricky haha

Answer 5

Ohh ok!

Answer 6

Volume is length times width times height. So, you would need to do 9 times 3

Answer 7

Ahh just a minor correction, you’re scaling the volume down by 1/10 not 10 so it would be scaled down by (1/10)(1/10)(1/10)

Answer 8

Oh

Answer 9

So it would be like 1/10^3?

Answer 10

9 times 3 times 10

Answer 11

OHH

Answer 12

Then, you would divide by 10, because it is scaled down by 1/10

Answer 13

so then you would get ________

Answer 14

27 right?

Answer 15

yep

Answer 16

Ohhh that makes sense now lol thanks

Answer 17

no problem