This box would hold a cubic meter of water or any other substance. While there are many ways to determine the density of an object, perhaps the most straightforward method involves separately finding the mass and volume of the object, and then dividing the mass of the sample by its volume. Be sure that the volume units match the denominator units in the density. This calculator is used to determine the mass of an object from the measured volume and known density. The formula for density is D = m/v This equation is read: density (D) equals mass (m) divided by volume (V). But if you hold the yellow block on the bottom of the tank, the water level rises to 110.00 L, which means that it now displaces 10.00 L water, and its density can be found: \[\mathrm{density=\dfrac{mass}{volume}=\dfrac{5.00\: kg}{10.00\: L}=0.500\: kg/L}\]. The density of the red block is: \[\mathrm{density=\dfrac{mass}{volume}=\dfrac{5.00\: kg}{1.25\: L}=4.00\: kg/L}\]. As a rule of thumb, almost all materials are more dense in their solid or crystalline form than in their liquid form; place the solid form of almost any material on the surface of its liquid form, and it will sink. Water is unusual because when water freezes, its solid form (ice) is less dense than liquid water, and thus floats on top of liquid water. For many situations, however, this as an inconvenient unit, and we often use grams per cubic centimeter (g/cm3) for the densities of solids and liquids, and grams per liter (g/L) for gases.

The density of a material is defined as its mass per unit volume.


A piece of aluminum foil has a mass of 0.018g and is 5.0cm on each side.

Thickness is a way to express the width of an object when that dimension is small.

volumeA unit of three-dimensional measure of space that comprises a length, a width, and a height. Substitute the values for density (D) from Step 3 and the value for volume (V) from Step 4 into the equation M=DxV and multiply to get M= (6 g/cubic cm) x (1 cubic cm) = 6 g. The mass therfore equals 6 g. Remember to check your units, as they need to be in the proper SI units.

Remove all of the blocks from the water and add the green block to the tank of water, placing it approximately in the middle of the tank.

The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Water itself is a complicated and unique molecule. The sugar alcohol glycerol (1,261 kg/m3) will sink into the water and form a separate layer until it is thoroughly mixed (glycerol is soluble in water).

In the following example, the mass is found directly by weighing, but the volume is found indirectly through length measurements. If those units don't match, you must perform a conversion so they will match. This is more helpful than it sounds because density is often a known quantity that you can look up, assuming you know the composition of … The formula used by this calculator to determine mass from volume and density is: m = V x ρ. The mass of water is expressed in grams (g) or kilograms (kg), and the volume is measured in liters (L), cubic centimeters (cm3), or milliliters (mL). Density of Substance.

Any amount of any substance will have a volume. In order to swindle people into paying for a brick of gold without actually investing in a brick of gold, people have considered filling the centers of hollow gold bricks with lead to fool buyers into thinking that the entire brick is gold. By definition, density is mass per unit volume where volume is the space the object occupies. Wikipedia The implications of this simple fact are enormous: when a lake freezes, ice crusts at the surface and insulates the liquid below from freezing, while at the same time allowing the colder water (with a temp of approx. The formula used by this calculator to determine volume from mass and density is: V = m / ρ. [ "article:topic", "volume", "density", "authorname:openstax", "thickness" ]. The width of an object is also sometimes defined as thickness (T). The SI unit for density is the kilogram per cubic meter (kg/m3). An object in the form of a cube with height, length and width equal to 1 cm has a density of 6 g/cubic cm.

900 kg/m3) will float on water, and no matter how vigorously mixed, will always return as a layer on the water surface (oil is not soluble in water). Missed the LibreFest? If the cube in part (a) is copper and has a mass of 5.34 g, what is the density of copper to two decimal places? Use the equation D=M÷V to solve for mass "M" in terms of volume "V" and density "D," by multiplying both sides of the equation by volume "V." The equation then becomes DxV= (M÷V) x V. The 2 Vs cancel each other out on the right side of the equation. Wiktionary CC BY-SA 3.0.

In this example, each volume of water is different and therefore has a specific and unique mass. Determine the density of the red and yellow blocks.

Scientists who work in a laboratory must be familiar with typical laboratory glassware, often called volumetric glassware.

Wikipedia This leaves the the " M " over the " V ," giving you the formula " M/V ." However, if you know the area, mass, and density of a substance, then you could calculate the thickness. Legal. A liter (L) is the more common name for the cubic decimeter.

Wikipedia Density is another measurement derived from SI basic units. CC BY-SA 3.0. This is the volume of the substance, which can be converted into any … The standard volume is a cubic meter (m3), a cube with an edge length of exactly one meter. It is measured in units of cubic centimeters in metric. The red block sinks (it is more dense than water, which has density = 1.00 kg/L), and the water level rises to 101.25 L. The red block therefore displaces 1.25 L water, an amount equal to the volume of the block. The density of a substance can be used to define the substance.

CC BY-SA 4.0.

A cubic centimeter (cm3) is the volume of a cube with an edge length of exactly one centimeter. Each of these containers is used in a laboratory setting to measure liquid volumes for different purposes.

V = Volume; m= Mass; ρ = Density; Mass Measured.

At that point, the density trend reverses. Wikipedia m= Mass Find the volume to solve for mass (M) by knowing that the formula for the volume (V) of a cube is equal to length x width x height. Although you can easily find mass from the equation given for density, there are a few rules you need to follow to solve correctly these types of problems. At 0 °C, water freezes to ice and floats. The symbol for density is the Greek letter "rho" or "ρ." \[\mathrm{density=\dfrac{mass}{volume}}\].

Practice finding the mass from density using this example.

Paul Flowers, Klaus Theopold & Richard Langley et al. \[\mathrm{volume\: of\: lead\: cube=2.00\: cm\times2.00\: cm\times2.00\: cm=8.00\: cm^3}\], \[\mathrm{density=\dfrac{mass}{volume}=\dfrac{90.7\: g}{8.00\: cm^3}=\dfrac{11.3\: g}{1.00\: cm^3}=11.3\: g/cm^3}\], Example \(\PageIndex{2}\): Using Displacement of Water to Determine Density. There is more than one way to solve density problems. Then solve for Mass. Determine the density of the green block. Comparing the densities of two materials can also predict how substances will interact. When you open the density simulation and select Same Mass, you can choose from several 5.00-kg colored blocks that you can drop into a tank containing 100.00 L water.

A cube with edge lengths of exactly one decimeter contains a volume of one cubic decimeter (dm3). We use the mass and volume of a substance to determine its density. If you have two containers of water that are different sizes, they each hold a different amount, or volume, of water.