SOLUTION: Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and prism B and C have equal volume. What is the volume of each pris

Algebra ->  Surface-area -> SOLUTION: Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and prism B and C have equal volume. What is the volume of each pris      Log On


   

Question 864416: Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and prism B and C have equal volume. What is the volume of each prism?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = volume of prism B and C, so the volume of prism A is x/3. Add up the 3 volumes and set it equal to 518. Then solve for x.


x/3 + x + x = 518


x/3 + 2x = 518


3(x/3 + 2x) = 3*518


x + 6x = 1554


7x = 1554


x = 1554/7


x = 222


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x = 222

x/3 = 222/3 = 74


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Volume of Prism A: 74 cubic feet


Volume of Prism B: 222 cubic feet


Volume of Prism C: 222 cubic feet