Step-by-step explanation:
The relationship between units of length, mass, and volume can be described by the following formulas:
Length x Width x Height = Volume
For example, if a box has dimensions of 2 meters x 3 meters x 4 meters, the volume of the box is 24 cubic meters (2 x 3 x 4 = 24).
Volume x Density = Mass
For example, if a box has a volume of 24 cubic meters and a density of 500 kg/m^3, the mass of the box is 12,000 kilograms (24 x 500 = 12,000).
Mass / Volume = Density
For example, if a box has a mass of 12,000 kilograms and a volume of 24 cubic meters, the density of the box is 500 kg/m^3 (12,000 / 24 = 500).
These formulas demonstrate the relationships between units of length, mass, and volume. Length and width are used to calculate the volume of an object, mass and volume are used to calculate density, and volume and density are used to calculate mass.