Answer :
To determine which set of three units are all metric measurements of volume, let's analyze each option provided:
1. Hectoliter, Liter, Milliliter:
- Hectoliter, liter, and milliliter are all part of the metric system and are units used specifically for measuring volume.
- A liter is a base unit of volume in the metric system, a milliliter is one-thousandth of a liter (1 milliliter = 0.001 liters), and a hectoliter is 100 liters.
2. Deciliter, Centiliter, Pint:
- Deciliter and centiliter are metric measurements of volume. A deciliter is one-tenth of a liter (1 deciliter = 0.1 liters), and a centiliter is one-hundredth of a liter (1 centiliter = 0.01 liters).
- However, pint is not a metric unit; it is a unit of volume commonly used in the United States and the United Kingdom.
3. Cup, Quart, Gallon:
- Cup, quart, and gallon are not metric units. They are part of the customary system used primarily in the U.S.
4. Dekameter, Centimeter, Kilometer:
- Dekameter, centimeter, and kilometer are metric units, but they measure length, not volume.
The correct set consists of units that are entirely metric and specifically measure volume, which is the first option: hectoliter, liter, and milliliter. Therefore, the correct answer is the first set.
1. Hectoliter, Liter, Milliliter:
- Hectoliter, liter, and milliliter are all part of the metric system and are units used specifically for measuring volume.
- A liter is a base unit of volume in the metric system, a milliliter is one-thousandth of a liter (1 milliliter = 0.001 liters), and a hectoliter is 100 liters.
2. Deciliter, Centiliter, Pint:
- Deciliter and centiliter are metric measurements of volume. A deciliter is one-tenth of a liter (1 deciliter = 0.1 liters), and a centiliter is one-hundredth of a liter (1 centiliter = 0.01 liters).
- However, pint is not a metric unit; it is a unit of volume commonly used in the United States and the United Kingdom.
3. Cup, Quart, Gallon:
- Cup, quart, and gallon are not metric units. They are part of the customary system used primarily in the U.S.
4. Dekameter, Centimeter, Kilometer:
- Dekameter, centimeter, and kilometer are metric units, but they measure length, not volume.
The correct set consists of units that are entirely metric and specifically measure volume, which is the first option: hectoliter, liter, and milliliter. Therefore, the correct answer is the first set.
