Two identical blocks of ice float in water as shown. Then:
A) block A displaces a greater volume of water since the pressure acts on a smaller bottom area
B) block B displaces a greater volume of water since the pressure is less on its bottom
C) the two blocks displace equal volumes of water since they have the same weight
D) block A displaces a greater volume of water since its submerged end is lower in the water
E) block B displaces a greater volume of water since its submerged end has a greater area

Question

Two identical blocks of ice float in water as shown. Then: 
A) block A displaces a greater volume of water since the pressure acts on a smaller bottom area 
B) block B displaces a greater volume of water since the pressure is less on its bottom 
C) the two blocks displace equal volumes of water since they have the same weight 
D) block A displaces a greater volume of water since its submerged end is lower in the water 
E) block B displaces a greater volume of water since its submerged end has a greater area

Quizplus · Accepted Answer

The amount of water displaced by the two blocks is equal because they have the same weight and therefore experience the same buoyant force, which is equal to the weight of the water they displace (Archimedes' Principle). The other choices are incorrect because the pressure at the bottom of the block is the same for both blocks as they have the same depth of submergence and the same shape.

Two Identical Blocks of Ice Float in Water as Shown