Question

The surface area of a triangular pyramid is 375.2 m2.

What would change if the surface area were measured in square centimeters?

Answer 1

i think it's D

Answer 2

$$
\large{
.01~m=1~cm\\
\left (\cfrac{1~cm}{.01~m}\right )^2=\cfrac{1cm^2}{.01^2~m^2}\\
1~cm^2=.0001~m^2
}
$$
So,

$$
\large{
\cfrac{ 375.2~\cancel{m^2}}{.0001~\cancel{m^2}}\times 1~cm^2=3,752,000~cm^2
}
$$

Does this make sense?

Answer 3

not really

Answer 4

So basically, going from square meters to square cm we multiply the original area by 1/.0001 , which is the same thing as 10,000.

So, if we have something that is X square meters, then to get to square centimeters, we multiply X by 10,000.

That's it!

Answer 5

so it would increase

Answer 6

I didn't even see your attachment. You are correct. It is D - the area, of course, would not change when you are just changing units. But because we are going from meters to cm, there would need to be more of them, so the number itself would be larger. In fact, it is larger by a factor of 10,000 in this case. But the area IS still the same.

Answer 7

thanks

Answer 8

you're welcome