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
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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) (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
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