The weight of an object in air and water can help determine its volume. To find the volume of the object in this case, we need to use the concept of buoyancy.
The weight of the object in air is 218 g, and when fully submerged in water, it weighs 136 g. The difference between these two weights represents the buoyant force acting on the object, which is equal to the weight of the water displaced by the object.
So, the buoyant force is 218 g - 136 g = 82 g.
To find the volume of the object, we can use the density of water, which is 1 g/cm^3. The buoyant force is equal to the weight of the water displaced by the object, which is also equal to the volume of the object multiplied by the density of water.
Using this relationship, we can calculate the volume of the object:
82 g = volume of object * 1 g/cm^3
Volume of object = 82 cm^3
Therefore, the volume of the object is 82 cm^3.