A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are multiplied by 5, what happens

Question

3 years ago

13

to the surface area.
A) It remains the same.
B) It is multiplied by 5.
C) It is multiplied by 25.
D) It is multiplied by 125.

2 answers:

nadya68 [22] · Answer 1 · 2021-11-28T02:45:27+03:00

Answer:

C

Step-by-step explanation:

The surface are of the prism will be the area of a each side added together. The work would look like this:

SA = 2[(l×h)+(l×b)+(b×h)]

SA = 2(lh+lb+bh)

But if you multiply each dimension by 5, the area becomes

SA = 2[(5l×5h)+(5l×5b)+(5b×5h)]

SA = 2(5²lh+5²lb+5²bh)

SA = 5²×2(lh+lb+bh)

SA = 5²area

Since 5² = 25, then the the surface area is multiplied in size by 25.

alexandr402 [8] · Answer 2 · 2021-11-28T01:07:17+03:00

4 0

Most likely your answer would be A