Acube-shaped dog kennel is replaced by a larger kennel. the volume of the original kennel was 27 cubic feet. the volume of the new kennel is 64 cubic feet. how many feet were added to each edge length of the kennel?

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?