gabbyalicorn
  • gabbyalicorn
The prism has a volume of 60 in3. What would the volume of the prism be if each dimension were tripled?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
gabbyalicorn
  • gabbyalicorn
https://www.dropbox.com/s/nvin40a8wutl2do/Screenshot%202015-06-15%2020.37.39.png?dl=0
gabbyalicorn
  • gabbyalicorn
@jim_thompson5910
Kash_TheSmartGuy
  • Kash_TheSmartGuy
60 x 3 x 3 x 3=1620in3

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
@jim_thompson5910
gabbyalicorn
  • gabbyalicorn
I thought 60 x 60 x 60 .3.
jim_thompson5910
  • jim_thompson5910
Kash_TheSmartGuy has the right idea triple each dimension ----> the volume gets multiplied by 3^3 = 27
gabbyalicorn
  • gabbyalicorn
K
jim_thompson5910
  • jim_thompson5910
try it with a 2by3by4 prism then triple each dimension compare the two volumes |dw:1434426114693:dw|
gabbyalicorn
  • gabbyalicorn
|dw:1434426207123:dw|
Kash_TheSmartGuy
  • Kash_TheSmartGuy
So that would be 1620in3
gabbyalicorn
  • gabbyalicorn
Hmm, I'm not getting 1620
jim_thompson5910
  • jim_thompson5910
those were just random examples
gabbyalicorn
  • gabbyalicorn
Oh
jim_thompson5910
  • jim_thompson5910
notice how 648/24 = 27
jim_thompson5910
  • jim_thompson5910
and how 3^3 = 3*3*3 = 27
jim_thompson5910
  • jim_thompson5910
|dw:1434426374216:dw|
Kash_TheSmartGuy
  • Kash_TheSmartGuy
Yup^^
gabbyalicorn
  • gabbyalicorn
Oh. Kk
gabbyalicorn
  • gabbyalicorn
k so 648 in^3
gabbyalicorn
  • gabbyalicorn
^ answer?
jim_thompson5910
  • jim_thompson5910
648 was from the example I randomly made up
jim_thompson5910
  • jim_thompson5910
to show the connection between the two prisms
Kash_TheSmartGuy
  • Kash_TheSmartGuy
no, that was just an example
gabbyalicorn
  • gabbyalicorn
oh, o3o
gabbyalicorn
  • gabbyalicorn
so 60^3 = 216,000
jim_thompson5910
  • jim_thompson5910
the smaller volume is 60 in^3
jim_thompson5910
  • jim_thompson5910
larger volume = 27*(smaller volume) because each side is tripled
gabbyalicorn
  • gabbyalicorn
so 60 x 3 x 27 = 4,860
jim_thompson5910
  • jim_thompson5910
if 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
  • jim_thompson5910
`so 60 x 3 x 27 = 4,860` not quite
jim_thompson5910
  • jim_thompson5910
smaller volume = 60 in^3 larger volume = 27*(smaller volume)
gabbyalicorn
  • gabbyalicorn
60 in^3 = 60 x 60 x 60 just double checking
Kash_TheSmartGuy
  • Kash_TheSmartGuy
yup
gabbyalicorn
  • gabbyalicorn
so then 60^3 x 27 which is 5,832,00
jim_thompson5910
  • jim_thompson5910
`60 in^3 = 60 x 60 x 60 just double checking` that's false
jim_thompson5910
  • jim_thompson5910
use a calculator to see what 60*60*60 is
gabbyalicorn
  • gabbyalicorn
i got 216000
jim_thompson5910
  • jim_thompson5910
|dw:1434427062119:dw|
jim_thompson5910
  • jim_thompson5910
so because you got 216000, you can see that 60 in^3 is not the same as 60*60*60
gabbyalicorn
  • gabbyalicorn
i was just about to say that XD
gabbyalicorn
  • gabbyalicorn
but then this whole time it wasn't 60^3 it was 60 x 27
jim_thompson5910
  • jim_thompson5910
yeah because 60 is already a volume (not a side length)
gabbyalicorn
  • gabbyalicorn
-3- kay.

Looking for something else?

Not the answer you are looking for? Search for more explanations.