If each dimension of the rectangular prism is doubled, how will its total surface area change?
The surface area doubles.
The surface area triples.
The surface area increases by a factor of four.
The surface area increases by a factor of eight.

The surface area doubles.

Step-by-step explanation:

The first thing we do is double the dimensions of the rectangular prism. Now, (4x2+3x2+4x3)x2 becomes (8x4+6x4+8x6)x2. It's kind of like we have two different prisms now. Let's solve the first one. 4x2=8, 3x2=6, and 4x3=12. 8+6+12=26. 26x2=52, so the surface area of the "first prism" is 52. Now let's solve the second one. 8x4=32, 6x4=24, and 8x6=48. 32+24+48=104, so the surface area of the "second prism" is 104. The relationship between 52 and 104 is that 52x2=104 (104 is 52 doubled). Hope this helped you! Good luck with future problems.