To find the volume of a rectangular prism, we need to multiply its length, width, and height:
Volume = length x width x height
First, we need to convert the mixed numbers to improper fractions:
3 1/2 = 7/2
5 1/3 = 16/3
Now we can substitute the values into the formula:
Volume = (7/2) feet x (16/3) feet x 12 feet
Multiplying the fractions and the whole number:
Volume = (7/2) x (16/3) x 12
Simplifying the fractions:
Volume = 56 cubic feet
Therefore, the volume of the rectangular prism is 56 cubic feet.