If you triple the length of each side of a cube, its surface area increases by what factor?

Science & Mathematics by Anonymous 2018-06-25 01:03:06

Social Science

11 answers

Anonymous

9 times
Anonymous

Area increases as the square of the length increase. If you triple the length of a side you increase the area by 3² = 9 Ans: Area increases by a factor of 9
Anonymous

27 times
Anonymous

(x^2)*6) ((3*x)^2)*6) ((3*x)^2)*6)/(x^2)*6) =((x^2 *9)/(x^2))=9
Anonymous

this is good question.
Anonymous

3
Anonymous

9
Anonymous

Yes, I think so
Anonymous

When you scale all linear dimensions of a solid by s, all area measurements scale by s² and all volume measurements scale by s³. In your case, sides scale by 3, so the surface area scales by 9. Answer: 9
Anonymous

So the area of a 1 x 1 =? and the area of a 3 x 3 = ? and the area of a 9 x 9 = ? Now, what is the answer? Lazy, no, not at all.
Anonymous

surface area = 6* s^2 so 6* (3s)^2 = 6 * s^2 * 9 hence increase by a factor of 9