The answer we want is the mass of the gold bar in kilograms. For example, the density of water is 1 gram per cubic centimetre, and Earth’s density is 5.51 grams per cubic centimetre. Density is commonly expressed in units of grams per cubic centimetre. Select Density/Volume Calculator from the Tool menu on. The formula for density is d M/V, where d is density, M is mass, and V is volume. To calculate the mass density, the chemical formula and molar volume should be provided. Multiply all three of these numbers together to get the volume of the gold bar. density, mass of a unit volume of a material substance. Use the conversion factor of 1 inch = 2.54 centimeters.Ħ inches = 6 inches x 2.54 cm/1 inch = 15.24 cm.Ĥ inches = 4 inches x 2.54 cm/1 inch = 10.16 cm.Ģ inches = 2 inches x 2.54 cm/1 inch = 5.08 cm. First, we must convert the inch measurements to centimeters. The density we have been given is in grams per cubic centimeter but the bar is measured in inches. Now we need to find the volume of the gold bar. Multiply both sides of this equation by the volume, V and get: You can get this result using the sphere volume formula (4/3) × × radius 3 and assuming that the Earth's average radius is 6,371 kilometers (3,958.76 mi). We have the density and enough information to find the volume in the problem. The volume of the Earth is approximately equal to 1.08321×10 12 km 3 ( 1.08 quadrillion cubic kilometers ), or 2.59876×10 11 cu mi ( 259 trillion cubic miles ). If you enter your two figures for mass and volume into the calculator, it will return the density. To calculate density, you divide the mass by the volume. Calculating density uses the formula D m ÷ v, where D means density, m means mass and v means volume. Density is equal to the mass divided by the volume. The density calculator uses the density formula: Density Mass Volume.
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