I would like some help with these 4 problems

1. A cube of wood with a density of 0.780 g/cm is 10.0 cm on each side. When the cube is placed in water. what buoyant force acts on the wood? (pw = 1.00 g/cm') 7.65 x 103 N 7.65 N 6.40 N 5.00 N 2. According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by determining how much water it displaced. The density of gold is 19.3 g/cm3. If the crown's mass was 6.00 x 102 g, what volume of water would have been displaced if the crown was indeed made of pure gold? a. 1.81 x 103 cm3 c. 114 x 103 cm3 b. 31.1 cm3 d. 22.8 x 103 cm3 3. A buoyant force acts in the opposite direction of gravity. Therefore, which of the following is true of an object completely submerged in water? The net force on the object is larger than the weight of the object. The net force on the object is equal to the weight of the object. The net force on the object is smaller than the weight of the object. The object appears to weigh more than it does in air. 4. Which of the following statements about floating objects is correct? The object's density is greater than the density of the fluid on which it floats. The buoyant force equals the object's weight. The object's density is equal to the density of the fluid on which it floats. The displaced volume of fluid is greater than the volume of the object