3 rectangular prisms have combined volume of 518 ft³ prism a has 1/3 of the volume of prism B and prisms B &C have equal volume what is the volume of each prism

The answer to your question is A = 74 ft³, B = 222 ft³, C = 222ft³

Step-by-step explanation:

Data

Total volume = 518 ft³

Prism A volume = Prism B volume / 3

Prism B volume = Prism C volume

Process

Write an equation in terms of volume of B

Volume A + Volume B + Volume C = 518

Substitution

B/3 + B + B = 518

(B + 3B + 3B) / 3 = 518

7B = 3 (518)

7B = 1554

B = 1554/7

B = 222

Get the volumes

Volume A = 222/3

= 74

Volume B = 222

Volume C = 222