Question

three rectangular prisms have 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

Answer 1

Translating the given problem into equation form:

Let A = volume of prism A

B = volume of prism B

C = volume of prism C

Eqn 1: A + B+ C = 518

Eqn 2: A = (1/3)B

Eqn 3: B = C

There are 3 equations and 3 unknowns, the system of linear can be solved. Using a calculator (preferably Casio 991-ES), yields:

A = 74 cu.ft

B = 222 cu.ft

C = 222 cu.ft