The previous rectangular prism had a surface area of 254 square inches. if each dimension is doubled, how does the surface area change?
the surface area doubles.
the surface area triples.
the surface area increases by 4 times.
the surface area increases by 8 times.

The surface area increases by 4 times

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z -----> the scale factor

x ----> the surface area of the new rectangular prism

y ---> the surface area of the original rectangular prism

so

we have

----> because is doubled

substitute and solve for x

----> surface area increases by 4 times.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.