What is the formula for finding volume if you know the density and mass?

    The of a substance is its mass per unit of volume.
    The density formula is:
    ##density## = ##mass/volume##
    To solve for volume multiply both sides of the equation times volume. This will cancel volume on the right and place it on the left.
    ##volume x density## = ##mass/volume## x ##volume##
    ##volume x density## = ##mass##
    Now divide both sides by the density.
    ##volume x density/density## = ##mass/density##
    Density cancels on the left side so that ##volume## = ##mass/density##
    [Mass units are typically grams (##g##) or kilograms (##kg##) and volume units are typically cubic centimeters (##cm^3##) milliliters (##mL##) cubic meters (##m^3##) or liters (##L##). Any other mass and volume units can be used but the ones listed are the most common.]
    There is a device called a density triangle that can make it easier to determine how to solve for one variable when the other two are known.
    M = mass D = density and V = volume. If you want to find density when mass and volume are known cover the D leaving the M over the V which means to divide the mass by the volume to get the density. If you want to find mass when density and volume are known cover the M leaving the D and V next to each other. That means to multiply density times volume to get mass. If you want to find volume when mass and density are known cover the V leaving the M over the D which means to divide the mass by the density to get volume.

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