Question

Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one third of the volume of Prism

b. B and C have the same volume. What is the volume of each prism and the work behind it?

Answer 1

A + B + C = 518 ft^3

A = 1/3B, or 3A = B

B = C

A + B + C = 518 ft^3

1/3B + B + B = 518

7/3B = 518

B = 518×3/7 = 222 ft^3

A = 1/3B = 1/3×222 = 74 ft^3

C = B = 222 ft^3Explanation:

Answer 2

A + B + C = 518 ft^3
A = 1/3B, or 3A = B
B = C
A + B + C = 518 ft^3
1/3B + B + B = 518
7/3B = 518
B = 518×3/7 = 222 ft^3
A = 1/3B = 1/3×222 = 74 ft^3
C = B = 222 ft^3