Question

Medal....

Answer 1

http://oi62.tinypic.com/2q17vnt.jpg

Answer 2

hint:
the square base of the first prism is:
18:2= 9 feet^2
Now what is the scale factor?

Answer 3

The scale factor of?

Answer 4

since we have two similar prisms, then there is a scale factor between them

Answer 5

Gotcha... 1:9

Answer 6

hint:
the ratio between the areas of the square base of the two prism, has to be equal to the squared scale factor, so we have:
36/9 = 4 = scale factor^2

Answer 7

so, scale factor is:
\[\sqrt {\frac{{36}}{9}} = \sqrt 4 = ...?\]

Answer 8

2

Answer 9

ok!

Answer 10

now the height H of the larger prism is equal to the height of the smaller prism, multiplied by 2, namely:
H= 2*1=...?

Answer 11

oops...H = 2*2=..?

Answer 12

4

Answer 13

ok!

Answer 14

then, what is the volume of the larger prism?
V = 36*4=...?

Answer 15

But that doesn't make any sense if the are of a SQUARE base is 36, the height of that square has to be 6, not 4...

Answer 16

area*

Answer 17

here height, stands for the height of the prism

Answer 18

Ah, I think that clears things up...

Answer 19

ok! So, what is the volume V of the larger prism?
V= 36*4=...?

Answer 20

144