Math (Please Help Ms. Sue)
posted by A.J 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
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
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:
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
here are the answers connections academy quick check math
Thanks you were right. 100%