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21 November, 18:41

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

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  1. 21 November, 20:31
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    The question asks us to find the volume of each prism (A, B and C). We know that: A + B + C = 518; B = 3 A (prism A is one third the volume of the prism B); B = C. We can solve this system of equations: A + 3 A + 3 A = 518; 7 A = 518; A = 518 : 7; A = 74. B = 3 * 74; B = 222; C = 222 (same as B). Answer: A = 74 cubic feet, B = 222 cubic feet and C = 222 cubic feet.
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