SOLUTION: The proportion is 1:54. I have 2 rectangular prisms the larger one has a surface area of 12936 inches squared, and the volume is 27588 inches cubed. how would I find the surface ar

Algebra ->  Proportions  -> Lessons -> SOLUTION: The proportion is 1:54. I have 2 rectangular prisms the larger one has a surface area of 12936 inches squared, and the volume is 27588 inches cubed. how would I find the surface ar      Log On


   

Question 184841: The proportion is 1:54. I have 2 rectangular prisms the larger one has a surface area of 12936 inches squared, and the volume is 27588 inches cubed. how would I find the surface area and volume of the smaller shape.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Having a proportion of 1%3A54,
then divide the Larger prism by 54 , then you get the values for the Smaller prism.
For AREA
SP=LP%2F54=12936in%5E2%2F54=highlight%28239.55555in%5E2%29
For VOLUME
SP=LP%2F54=27588in%5E3%2F54=highlight%28510.88888in%5E3%29
Let's check:
1%3A54=1%2F54=AREA%5BSP%5D%2FAREA%5BLP%5D=239.55555%2F12936
Cross multiply:
1%2A12936in%5E2=54%2A239.55555in%5E2
12936in%5E2=12936in%5E2, Proportional
Also,
1%2F54=VOL%5BSP%5D%2FVOL%5BLP%5D=510.88888%2F27588
1%2A27588in%5E3=54%2A510.88888in%5E3
27588in%5E3=27588in%5E3, Proportional
Thank you,
Jojo