Not that many countries in the world use ounces to measure. Most use the metric system, which is far easier to use. Just add a 0 (zero) to a number, or 3 zero’s to make it 1000 times more. (gram—-kilogram, meter—-kilometer). It makes no sense a yard is 3 feet, and a foot is 12 inches. Not to mention the confusing miles, gallons, stone, etcetera. Your question makes no sense either, a 1/4 cup of water, concrete or iron? You cannot compare the weight to volume.
You need to know the conversion relationship; how many ounces = 1 cup?
That relationship is 8 ounces = 1 cup.
Then use the fraction of 1 cup to multiply times the number of ounces that equals 1 cup.
1/4 cup = .25 cup
.25 cup x 8 ounces / 1 cup = 2 ounces
For a visual reference of this, be sure to have a measuring cup with ounces indicated on the side of the cup.
GENERAL CONVERSIONS
Dry measures
| 3 teaspoons | 1 tablespoon | 1/2 ounce | 14.3 grams | - |
|---|---|---|---|---|
| 2 tablespoons | 1/8 cup | 1 fluid ounce | 28.3 grams | - |
| 4 tablspoons | 1/4 cup | 2 fluid ounces | 56.7 grams | - |
| 5 1/3 tablespoons | 1/3 cup | 2.6 fluid ounces | 75.6 grams | - |
| 8 tablespoons | 1/2 cup | 4 ounces | 113.4 grams | 1 stick butter |
| 12 tablespoons | 3/4 cup | 6 ounces | .375 pound | 170 grams |
| 32 tablespoons | 2 cups | 16 ounces | 1 pound | 453.6 grams |
| 64 tablespoons | 4 cups | 32 ounces | 2 pounds | 907 grams |
Liquid measures
| 1 cup | 8 fluid ounces | 1/2 pint | 237 ml |
|---|---|---|---|
| 2 cups | 16 fluid ounces | 1 pint | 474 ml |
| 4 cups | 32 fluid ounces | 1 quart | 946 ml |
| 2 pints | 32 fluid ounces | 1 quart | 0.964 liters |
| 4 quarts | 128 fluid ounces | 1 gallon | 3.784 liters |
| 8 quarts | one ■■■■ | - | - |
| 4 pecks | one bushel | - | - |
| dash | less than 1/4 teaspoon | - |