![]() ![]() Thus, we obtain the formula for calculating density as, To calculate density, draw the density triangle and cover the ‘D’ in it. So, we can find their density using the density triangle. We know the mass of the beads as well as their overall volume. ![]() Solution: We need to identify the metal of which the gold-colored beads are made up of. Using the following chart of densities of different metals, can you identify which metal the beads are made up of? Density of Gold = 19.3 gm/mL Density of Copper = 8.86 gm/mL Density of Bronze = 9.87 gm/mL Through the Archimedes water displacement method, the volume of the beads is found out to be 53.19 cm 3. Substituting them directly in the equation above,Įxample 3: In a cup are present a number of gold-colored beads having a total mass of 500 gm. Since both have the same convention of units, conversion to S.I. Solution: Here, we are required to find the mass, hence, drawing the density triangle and covering ‘M’ in it, we get, Putting these values in the above equation for density, we get,Įxample 2: Work out the mass of 300 mL of a solution, if its density is 0.878 gm/mL. Now, the volume of a cube is the cube of its sides. Notice that, in this example, the side is given in centimeters. Now, since we are required to find the density of the cube, we will cover the D part of the triangle, to obtain the following formula, Solution: Draw the density triangle as shown in the above section. It is advised that you try to solve them on your own before going through the solutions, to get a better grip on this topic.Įxample 1: A solid cube has one side equal to 10 cm and a mass equal to 2 kg. To help you in this endeavor, in the following lines, we present to you four fully-solved examples. This is very important, because unless you bring the use of the density triangle into practice, you won’t be able to fully understand how to use it. The last part says, ‘I do and I understand’. Look at the Chinese proverb in the previous section again. Thus, we get the following formula for the volume of an object. ![]() What remains is M and D, with M above and D below, separated by a horizontal dividing line. To work out the formula for the volume of an object, cover the ‘V’ in the density triangle. To avoid such a situation, the density triangle was conceived. However, the downside to this is that, if you get the first one wrong, then the remaining two shall also go wrong. So effectively, if you can remember any one of them, you can easily find out the remaining two. By rearranging the terms of this equation, two more equations can be derived – one to calculate the mass and another to calculate the volume. Its mathematical equation comprises both these quantities. Mathematically, it is defined as the mass per unit volume of a body.įrom these definitions, it is clear that density is a function of both the mass as well as the volume of an object. Basically, it tells you how closely crammed matter is within that object. The density of an object is the measurement of its compactness. unit for each of these is meter (m), and since volume is a product of the three, its unit is m 3. Volume, thus, represents the body’s expanse in all three dimensions, represented by its length, width, and height. ![]() The overall space occupied by a body in a 3D space is known as its volume. For example, a person will weigh less on the moon due to its weaker gravity as compared to Earth, but would have the same mass in both the places. Note that mass is different from weight, which represents the gravitational force of attraction on an object. The total amount of matter present within an object or a body is known as its mass. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |