Passage VII

When an object floats in a liquid, a fraction of the object extends above the surface of the liquid.

Seven objects with different densities were placed in containers of 4 different liquids. Table 1 lists the objects and their densities, in grams per cubic centimeter (g/cm³), at 15°C.

Table 2 lists the 4 liquids and their densities, in g/cm³, at 15°C.

Figure 1 shows, for each liquid, a graph of the fraction of each object extending above the liquid's surface versus the object's density, in g/cm³.

38. A material composing a cube has a density of 0.200 g/cm³ at 15°C. Each side of the cube is 10 cm long. The cube floats in a container of water. Based on Figure 1, what volume of the cube, in cm³, will extend above the surface of the water?

Answer and Explanation

Your Answer is

Correct Answer is H

Explanation

Look at the line representing water in figure 1. When the abscissa density is equal to 0.2, the ordinate fraction of object extending above liquid's surface is about 0.8;

The object is a A cube with a side length of 10 cm, so the total volume V=10×10×10=1000, then the volume on the water surface should be 1000×0.8=800