A polished pumice stone has a weight density of 40.02 lb/ft³and sides measuring 4.11 in, 2.35 in and 3.98 in, respectively. (Hint: you need to do some conversion for this problem. 1 ft = 12 in and the conversion must be done for each dimension.)

(a) What is the weight of this stone?

(b) If it is immersed in water (weight density 62.4 lb/ft³), what is the buoyant force exerted by the water on the pumice stone?

(c) What is the net force on the stone? (Magnitude and direction)

(d) Will the stone sink or float?