You have 3 cubes with sides 10cm x 10 cm x10cm. they are made of silver, aluminum and cherry wood, respectively. You also have 3 fluid namely mercury, ethylene glycol and ethyl alcohol. See table 15.1

for the 3 cubes find the density of the fluid that would cause each block to be 50% submerged determine the submerged height of the 3 cubes in each of the three fluids

15-1 DENSITY 503 TABLE 15-1 Densities of Common 15-1 Density Substances The properties of a fluid can be hard to pin down, given that it can flow, change shape, Substance Density (kg/m3) and either split into smaller portions or combine into a larger system. Thus, one of the Gold 19,300 best ways to quantify a fluid is in terms of its density. Specifically, the density, p, of a Mercur 13 600 material (fluid or not) is defined as the mass, M, per volume, V: V ' Lead 11 ,300 Definition of Density, p Silver 10500 p 2 MW 15-] Iron 7860 51 unit: kg/mj Aluminum 2700 Ebony (wood) 1220 The denser a material, the more mass it has in any given volume. Ethylene glycol (antifreeze) 1114 To get a feel for densities in common substances, we start with water. For example, Whole blood {37 cc) 1060 to fill a cubic container 1 meter on a side would take more than 2000 pounds of water. . . . . Seawater 1025 More prec1sely, water has the follow1ng dens1ty. _ . 7 _ 3 Freshwater 1000 pW , density of water , 1000 kg/m Olive oil 920 Agallon (1 gallon = 3.79 L = 3.79 X 10'3 m3) of water, then, has a mass of Ice 917 M = pV = (1000 kg/m3)(3.79 X 10*3 m3) = 3.79 kg Ethv' alcohol 806 . _ Cherry (wood) 800 As a rule of thumb, a gallon of water we1ghs1ust over 8 pounds. In comparison, the density of the air in your room is roughly 1.29 kg/m3, and the Balsa (WOOd) 120 helium in a heliumiilled balloon has a density of only about 0.179 kg/m3. On the Styrofoam 100 higher end of the density scale, solid gold \"weighs in" with a hefty 19,300 kg/m3. The Oxygen 1,43 densities of some other common materials are listed in Table 15-1. Air 129 Helium 0.179 CONCEPTUAL EXAMPLE 151 THEWEIGHTOFAIB One day you look in your refrigerator and find nothing but a dozen eggs (45 g each). A quick measurement shows that the