What is the surface area of the box if it is scaled up by a factor of 10?

Length: 9in.
Width: 5in.
Height: 3in.

Question

What is the surface area of the box if it is scaled up by a factor of 10?

Length: 9in.
Width: 5in.
Height: 3in.

anonymous · Answer

@Mehek14

anonymous · Answer

will fan and medal just please help

anonymous · Answer

If it is scaled up by 10, then all the side lengths are multiplied by 10.

anonymous · Answer

Do you know how to find the surface area?

anonymous · Answer

yeahh and its 174

anonymous · Answer

$$
S = 2lw+2lh+2wh
$$

anonymous · Answer

If you scale it up by 10 $$
S'  = 2l'w'+2l'h'+2w'h' = 2(10l)(10w)+2(10l)(10h)+2(10w)(10h)\
= 100(2lw + 2lh+2wh) = 100S
$$

anonymous · Answer

So the surface area is increased by a factor of $10^2=100$

anonymous · Answer

ok so I just multiply each by 10??

anonymous · Answer

??

anonymous · Answer

nvm, I got the answer but I need help with one more

anonymous · Answer

What is the volume of the box if it is scaled down by a factor of 1/10?

anonymous · Answer

The volume would be scaled down by $1/10^3 = 1/1000$.

anonymous · Answer

ok so what do I do??

anonymous · Answer

please help me