When you quadruple the dimensions of a rectangular prism, it's surface area
A. is 1/8 of the original figure
B. becomes 64 times greater.
C. becomes 16 times bigger
D. or does none of the above??
I betcha can't get this one.
And one of the above is the correct answer.
I figured I'd give you some choices so you wouldn't be thinking in otherworldy thoughts
2007-03-14 14:34:24 · 8 answers · asked by Anonymous in Education & Reference ➔ Trivia
b.
Why??
I think because you've multiplied it by 4, three times... one for each dimension.
1cmx1cmx1cm=1cm^3
quadruple it:
4cmx4cmx4cm=64cm^3
...oops that's for the volume.... hmmmm
lessee....
a 1x1x2 prism.... has surface area of 10cm^2
a 4x4x8 prism has a surface area of 160cm^2....
soooooo
C.
2007-03-14 14:39:52 · answer #1 · answered by Mike E 2 · 1⤊ 0⤋
Area is proportional to the square of the linear dimensions, so when you quadruple the dimensions, the area is increased 4 X 4 = 16 times (choice C.)
(Volume is proportional to the cube of the linear dimensions, so quadrupling the dimensions increases the volume 4 X 4 X 4 = 64 times.)
2007-03-14 22:17:32 · answer #2 · answered by wild_turkey_willie 5 · 2⤊ 0⤋
I won't waste my time or yours with an explanation that has already been given.
The answer is C. The surface area increases by a factor of 16.
And these are hardly otherworldly thoughts, unless you are a fourth grader. For anyone in Advanced Placement Calculus, like myself, and hopefully for anyone who has taken geometry, this is a no brainer.
2007-03-14 22:43:03 · answer #3 · answered by feral_black_gryphon 3 · 0⤊ 1⤋
c
2007-03-14 23:14:09 · answer #4 · answered by anonymous 3 · 0⤊ 0⤋
c
2007-03-14 23:14:06 · answer #5 · answered by Maryfrances 5 · 0⤊ 0⤋
C! (I just guessed)
2007-03-14 21:39:12 · answer #6 · answered by dramaqueen7469 2 · 0⤊ 0⤋
it is c
2007-03-14 21:44:06 · answer #7 · answered by Maverick 7 · 0⤊ 0⤋
D
2007-03-14 21:38:31 · answer #8 · answered by dreamgirl 5 · 0⤊ 0⤋