Question

A rectangular prism with dimensions $3^{\prime }\times 4^{\prime }\times 6^{\prime }$ is filled with water.
If a solid cube with $3$ feet edges were placed inside the prism, how much water would remain (after the excess was displaced)

• A. $15$ cubic feet
• B. $27$ cubic feet
• C. $45$ cubic feet
• D. $60$ cubic feet
• E. $63$ cubic feet

Answer 1

The correct option is C $45$ cubic feet

Volume of rectangular prism $=3$ $\times$ $4$ $\times$ $6=72$ cubic ft

Volume of cube $=$ ${\left(3\right)}^3=27$ cu.ft

Volume of water $=72-27=45$ cu. ft.