Question

scale factor, ratio, etc
http://i47.tinypic.com/14wde09.png

Answer 1

click it. i don't know how to solve for it :(

Answer 2

V= 1/3Bh where B is the area of the base

Answer 3

\[16000=\frac{1}{3}B(30)\]
\[1600=B\]
Side of the square base = 40

Answer 4

mhm..

Answer 5

Scale factor = 24/30=4/5

Answer 6

wait , this is for a?

Answer 7

\[\frac{4}{5}=\frac{x}{40}\]
x=32=side of base of smaller pyramid.
32^2=1024=area of base of smaller pyramid

Answer 8

\[\frac{1024}{1600}=\frac{16}{25}\]=
ratio of areas of bases.
Note that this is the square of the ratio of the sides of the base.

Answer 9

Similarly the ratio of the volumes is:
\[(\frac{4}{5})^3=\frac{64}{125}\]

Answer 10

Volume of smaller pyramid =
\[\frac{1}{3}(1024)(24)=8(1024)=8192\]

Answer 11

Or you could say:
\[\frac{64}{125}=\frac{x}{16000}\]

Answer 12

hmm

Answer 13

What does that mean? Do you understand or not? Do you have a question?

Answer 14

okay hold up

Answer 15

what did you mean by side of base?

Answer 16

The base is a square. So a side of the base is a side of that square.

Answer 17

wait so you did it backwards? cause i was a bit confsed

Answer 18

I don't think I did it backwards.

Answer 19

so this is for a-d?

Answer 20

okay so for the scale factor of the smaller pyramid to the larger pyramid in simplest form would be 24/30 = 4/5?

Answer 21

yes

Answer 22

yeah, i figured it out! thanks a ton! :)

Answer 23

yw

Answer 24

if you can please help out with this one as well. http://openstudy.com/study#/updates/4fc98017e4b0c6963ad3dced thanks a lot. (: