Answer:
Answer explained belowStep-by-step explanation:
a. To determine the volume of each given dunk tank, you need to multiply the given dimensions (length x width x height). The results are:
Volume = 2 x 12 x 4 = 96 cubic feet
Volume = 4 x 4 x 8 = 128 cubic feet
Volume = 7 x 6 x 4 = 168 cubic feet
Volume = 8 x 5 x 4 = 160 cubic feet
Volume = 10 x 4 x 3 = 120 cubic feet.
b. Based on the given dimensions and calculated volumes, the most reasonable dimensions for a dunk tank are the ones that are similar to the actual dimensions of a typical dunk tank used in events or carnivals. Based on the calculated volumes, a dunk tank with a volume of 120-160 cubic feet is reasonable, as it falls within the typical range of dunk tank volumes used in events. The dimensions of 8 x 5 x 4 or 10 x 4 x 3 are the most reasonable options, as they are close to the average size of a dunk tank. The dimensions of 2 x 12 x 4 and 7 x 6 x 4 may not be as reasonable, as they are either too long or too tall, which may affect the stability and safety of the dunk tank.