100 liters of water is equal to what unit
The correct answer and explanation is:
100 liters of water is equal to 100,000 milliliters (mL) or 100 cubic decimeters (dm³) or 0.1 cubic meters (m³).
Explanation:
The liter (L) is a unit of volume commonly used to measure liquids like water. It is not part of the International System of Units (SI) but is accepted for use with SI. The liter is defined as the volume of a cube measuring 10 centimeters (cm) on each side.
- 1 liter = 1,000 milliliters (mL)
Since 1 liter equals 1,000 milliliters, 100 liters equals:
100×1,000=100,000 mL100 \times 1,000 = 100,000 \text{ mL} - 1 liter = 1 cubic decimeter (dm³)
A cubic decimeter is a cube with each side measuring 10 cm. Because a liter was originally defined as the volume of such a cube, 1 liter equals 1 dm³. So:
100 liters=100 dm3100 \text{ liters} = 100 \text{ dm}^3 - Conversion to cubic meters (m³):
Since 1 cubic meter (m³) equals 1,000 liters (because 1 m = 10 dm, so 1m3=10×10×10=1,000 dm31 m^3 = 10 \times 10 \times 10 = 1,000 \text{ dm}^3), we have:
100 liters=1001,000=0.1 m3100 \text{ liters} = \frac{100}{1,000} = 0.1 \text{ m}^3
Why this matters:
Volume conversions are important in many fields such as chemistry, engineering, cooking, and water management. Understanding how to convert liters to other units like milliliters or cubic meters ensures clarity and accuracy when measuring or discussing volumes. For example, large quantities of water (like in pools or tanks) are often measured in cubic meters, while smaller quantities (like in bottles) are measured in liters or milliliters.
Water has a density of approximately 1 kilogram per liter at room temperature, which means 100 liters of water weighs about 100 kilograms. This relationship between volume and mass is useful in many practical applications, such as calculating shipping weight or understanding fluid dynamics.
In summary, 100 liters can be expressed in various units based on the metric system, with the most direct being 100,000 milliliters, 100 cubic decimeters, or 0.1 cubic meters, depending on the scale and context of the measurement.