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gabbyalicorn
 one year ago
The prism has a volume of 60 in3.
What would the volume of the prism be if each dimension were tripled?
gabbyalicorn
 one year ago
The prism has a volume of 60 in3. What would the volume of the prism be if each dimension were tripled?

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gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0https://www.dropbox.com/s/nvin40a8wutl2do/Screenshot%2020150615%2020.37.39.png?dl=0

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910

Kash_TheSmartGuy
 one year ago
Best ResponseYou've already chosen the best response.160 x 3 x 3 x 3=1620in3

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0I thought 60 x 60 x 60 .3.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Kash_TheSmartGuy has the right idea triple each dimension > the volume gets multiplied by 3^3 = 27

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1try it with a 2by3by4 prism then triple each dimension compare the two volumes dw:1434426114693:dw

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434426207123:dw

Kash_TheSmartGuy
 one year ago
Best ResponseYou've already chosen the best response.1So that would be 1620in3

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0Hmm, I'm not getting 1620

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1those were just random examples

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1notice how 648/24 = 27

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1and how 3^3 = 3*3*3 = 27

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434426374216:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1648 was from the example I randomly made up

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1to show the connection between the two prisms

Kash_TheSmartGuy
 one year ago
Best ResponseYou've already chosen the best response.1no, that was just an example

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0so 60^3 = 216,000

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the smaller volume is 60 in^3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1larger volume = 27*(smaller volume) because each side is tripled

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0so 60 x 3 x 27 = 4,860

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if you quadrupled each side, then larger volume = 64*(smaller volume) the 64 comes from the fact that 4^3 = 64  if you multiplied each side by 5, then larger volume = 125*(smaller volume) the 125 comes from the fact that 5^3 = 125  if you multiplied each side by 6, then larger volume = 216*(smaller volume) the 216 comes from the fact that 6^3 = 216  etc etc

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`so 60 x 3 x 27 = 4,860` not quite

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1smaller volume = 60 in^3 larger volume = 27*(smaller volume)

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.060 in^3 = 60 x 60 x 60 just double checking

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0so then 60^3 x 27 which is 5,832,00

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`60 in^3 = 60 x 60 x 60 just double checking` that's false

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1use a calculator to see what 60*60*60 is

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434427062119:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so because you got 216000, you can see that 60 in^3 is not the same as 60*60*60

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0i was just about to say that XD

gabbyalicorn
 one year ago
Best ResponseYou've already chosen the best response.0but then this whole time it wasn't 60^3 it was 60 x 27

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah because 60 is already a volume (not a side length)
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