3 rectangular prisms have a combined volume of 518 cubic feet. Prism A has 1/3 the volume of Prism B. Prisms B and C have equal volume.

Question

Prisms B and C have equal volume. 

Answer 1

Hi Adam

Let A, B and C be the volumes of three prisms.

 

Given A+B+C = 518 ft ³

 

Given A = B/3 = C/3

as B = C

 

A + 3A +3A = 518

or 7A = 518 

A = 518/7 =74 ft ³

B= 3*74 = 222 =C

 

Volume of A = 74 ft^{3 ,} Volume of B = 222 ft³ and Volume of C = 222 ft³