posted by on .

what happens to the surface area of a rectangular prism when each of the dimensions is doubled? 1. it doubles 2. it quadruples 3. it is six times greater 4. it is halved

• Math - I don't know - ,

Sorry.

The surface area of two similar solids is proportional to the square of their corresponding sides,
so the square of the "doubling" is 2^2 or 4
So the surface area is quadrupled

or

let the original dimensions be l , w, and h
surface area = 2lw + 2lh + 2 wh
= 2(lw + lh + wh)

new dimensions : 2l , 2w and 2h
new surface area
= 2((2l)(2w) + (2l)(2h) + 2(2w)(2h)
= 8( lw + lh + wh)

and 8( lw + lh + wh) is 4 times as large as 2(lw + lh + wh)

Alright, now we need to know the answers to the other questions. I'll come back when I find them....so hand in there till I come back, okay?

O.K.! I'm back! So, I finished the Connections Academy quick-check, and here are the 1005 correct answers:

1=A
2=B
3=B
4=C
5=B

Just so you aren't doubting me, it is Lesson 10, Unit 3 "Prisms and Surface Areas" Quick-Check, on ACA, Arizona Connections Academy. Well, the answers are the some for other states, too...Anyways, you're welcome!

Oops! I forgot the % sign. Oh well, and, hey, I am still right, OK? (Tell me if they were wrong without cussing, and what state you are in) Please, thanks, and you are welcome!! :1

1=A
2=B
3=B
4=C
5=B