Use the diagram to answer the question that follows:
a cube 10 cm wide, 10 cm high, 5 cm deep
The rectangular solid in the diagram is made of a material that has a
density 25% that of water. If it is placed in a container of water, how
many cubic centimeters of the rectangular solid will be below the
surface of the water?
125 cm3
The depth to which an object will be submerged is based on how much water the object’s weight can displace. If the object’s density is only 25% that of water, then it can only displace 25% of an equal volume of water. When the rectangular solid floats in the water, the upward buoyant force exerted by the water equals the downward force of the solid’s weight. This balancing of forces occurs when 25% of the solid’s volume, or 125 cm3, is submerged.