Milligrams to Cups Conversion Calculator

Enter the weight in milligrams below to calculate the volume in cups.

Result in Cups:

1 mg = 4.2268E-6 c
1 mg < 1/16 c
Hint: use a scientific notation calculator to convert E notation to decimal

Do you want to convert cups to milligrams?

How to Convert Milligrams to Cups

Since milligrams are a unit of mass and cups are a unit of volume, which are different physical quantities, we need to know one more physical quantity of the ingredient or substance to convert between them. In this case, we need to account for the density of the substance whenever we do a conversion.

Therefore, to convert between milligrams and cups of an ingredient or substance, we must either multiply or divide by its density, depending on which direction we are performing the conversion.

Milligrams to Cups Formula

To convert a measurement in milligrams to cups, divide the weight by the density of the ingredient or material. Note that in order for this to work, the density must be in milligrams per cup (mg/c).

If the density is given in grams per milliliter (g/mL), then first multiply the density by 236,588.236 to convert to mg/c.

For a density given in g/mL, you can use this simple formula to convert:

cups = milligrams / 236,588.236 × density

Thus, the volume in cups is equal to the weight in milligrams divided by 236,588.236 times the density (in g/mL) of the ingredient, substance, or material.

For example, here's how to convert 500,000 milligrams to cups for an ingredient with a density of 0.7 g/mL.
cups = 500,000 mg / 236,588.236 × 0.7 g/mL = 3.0191 c

When to Convert Milligrams to Cups

Milligrams and cups are both commonly used to measure cooking ingredients.

For cooking applications, most chefs suggest measuring dry ingredients by weight rather than volume to improve accuracy in the measurements.[1] The density of dry ingredients can vary for a variety of reasons, such as compaction and clumping.

The best way to ensure an accurate conversion is to use a scale. When a scale is not available, a calculator like the one above is a good way to estimate the weight to volume conversion.

Another useful application of weight and volume conversions is chemistry. When performing chemical reactions by combining separate chemicals to produce a new chemical, one must know the exact amount of each chemical to add in order to maximize the yield of the reaction.

It is common to mix powdered chemicals with liquid, or aqueous, chemicals, and this is where it becomes very useful to convert between weights and volumes.[2]

What Is a Milligram?

The milligram is a unit of mass equal to 1/1,000 of a gram, or 0.0154 grains.

The milligram, or milligramme, is an SI unit of mass in the metric system. In the metric system, "milli" is the prefix for thousandths, or 10-3. Milligrams can be abbreviated as mg; for example, 1 milligram can be written as 1 mg.

A milligram is frequently referred to as a unit of weight. While technically, a milligram is a measure of mass, and weight is actually a measure of force, the two are equivalent as long as we are performing our calculations on Earth.

For example, an object with a mass of 1 milligram weighs 1 milligram on Earth, but only weighs one-sixth of that on the moon, yet still has the same mass.

What Is a Cup?

The cup is a unit of volume equal to 16 tablespoons or 8 fluid ounces. The cup should not be confused with the metric cup or the teacup, which are different units of volume.

One standard cup is equal to 236.588 milliliters, but for nutrition labeling, one cup is defined as 240 milliliters.[3] To further confuse things, a metric cup is equal to 250 mL, while in Japan, a cup is equivalent to only 200 mL.

The cup is a US customary unit of volume. Cups can be abbreviated as c, and are also sometimes abbreviated as C. For example, 1 cup can be written as 1 c or 1 C.

Milligram to Cup Conversion Table

Milligram measurements converted to cups for commonly used cooking and baking ingredients.
Weight in Milligrams: Volume in Cups of:
Water Milk Cooking Oil All Purpose Flour Granulated Sugar
1,000 mg 0.004227 c 0.004104 c 0.004803 c 0.00799 c 0.005 c
2,000 mg 0.008454 c 0.008207 c 0.009606 c 0.01598 c 0.01 c
3,000 mg 0.01268 c 0.012311 c 0.014409 c 0.02397 c 0.015 c
4,000 mg 0.016907 c 0.016415 c 0.019213 c 0.03196 c 0.02 c
5,000 mg 0.021134 c 0.020518 c 0.024016 c 0.03995 c 0.025 c
6,000 mg 0.025361 c 0.024622 c 0.028819 c 0.04794 c 0.03 c
7,000 mg 0.029587 c 0.028726 c 0.033622 c 0.055931 c 0.035 c
8,000 mg 0.033814 c 0.032829 c 0.038425 c 0.063921 c 0.04 c
9,000 mg 0.038041 c 0.036933 c 0.043228 c 0.071911 c 0.045 c
10,000 mg 0.042268 c 0.041036 c 0.048031 c 0.079901 c 0.05 c
11,000 mg 0.046494 c 0.04514 c 0.052834 c 0.087891 c 0.055 c
12,000 mg 0.050721 c 0.049244 c 0.057638 c 0.095881 c 0.06 c
13,000 mg 0.054948 c 0.053347 c 0.062441 c 0.103871 c 0.065 c
14,000 mg 0.059175 c 0.057451 c 0.067244 c 0.111861 c 0.07 c
15,000 mg 0.063401 c 0.061555 c 0.072047 c 0.119851 c 0.075 c
16,000 mg 0.067628 c 0.065658 c 0.07685 c 0.127841 c 0.08 c
17,000 mg 0.071855 c 0.069762 c 0.081653 c 0.135831 c 0.085 c
18,000 mg 0.076082 c 0.073866 c 0.086456 c 0.143821 c 0.09 c
19,000 mg 0.080308 c 0.077969 c 0.091259 c 0.151812 c 0.095 c
20,000 mg 0.084535 c 0.082073 c 0.096063 c 0.159802 c 0.1 c
21,000 mg 0.088762 c 0.086177 c 0.100866 c 0.167792 c 0.105 c
22,000 mg 0.092989 c 0.09028 c 0.105669 c 0.175782 c 0.11 c
23,000 mg 0.097215 c 0.094384 c 0.110472 c 0.183772 c 0.115 c
24,000 mg 0.101442 c 0.098487 c 0.115275 c 0.191762 c 0.12 c
25,000 mg 0.105669 c 0.102591 c 0.120078 c 0.199752 c 0.125 c
26,000 mg 0.109896 c 0.106695 c 0.124881 c 0.207742 c 0.13 c
27,000 mg 0.114122 c 0.110798 c 0.129684 c 0.215732 c 0.135 c
28,000 mg 0.118349 c 0.114902 c 0.134488 c 0.223722 c 0.14 c
29,000 mg 0.122576 c 0.119006 c 0.139291 c 0.231712 c 0.145 c
30,000 mg 0.126803 c 0.123109 c 0.144094 c 0.239702 c 0.15 c
31,000 mg 0.131029 c 0.127213 c 0.148897 c 0.247693 c 0.155 c
32,000 mg 0.135256 c 0.131317 c 0.1537 c 0.255683 c 0.16 c
33,000 mg 0.139483 c 0.13542 c 0.158503 c 0.263673 c 0.165 c
34,000 mg 0.14371 c 0.139524 c 0.163306 c 0.271663 c 0.17 c
35,000 mg 0.147936 c 0.143628 c 0.168109 c 0.279653 c 0.175 c
36,000 mg 0.152163 c 0.147731 c 0.172913 c 0.287643 c 0.18 c
37,000 mg 0.15639 c 0.151835 c 0.177716 c 0.295633 c 0.185 c
38,000 mg 0.160617 c 0.155938 c 0.182519 c 0.303623 c 0.19 c
39,000 mg 0.164843 c 0.160042 c 0.187322 c 0.311613 c 0.195 c
40,000 mg 0.16907 c 0.164146 c 0.192125 c 0.319603 c 0.2 c

References

1. National Institute of Standards & Technology, Culinary Measurement Tips, https://www.nist.gov/pml/owm/culinary-measurement-tips
2. CK-12 Foundation, Introductory Chemistry (CK-12) - 12.6: Mass-Volume Stoichiometry, https://chem.libretexts.org/Bookshelves/Introductory_Chemistry/Introductory_Chemistry_(CK-12)/12%3A_Stoichiometry/12.06%3A_Mass-Volume_Stoichiometry
3. U.S. Food & Drug Administration, Guidance for Industry: Guidelines for Determining Metric Equivalents of Household Measures, https://www.fda.gov/regulatory-information/search-fda-guidance-documents/guidance-industry-guidelines-determining-metric-equivalents-household-measures