Question

multiple choice question
a liter (l) is equal to ______.

○ 1 dl³
○ 1 dm³
○ 1 ml³
○ 1 m³

Explanation:

Step1: Recall Volume Unit Conversion

A liter (L) is a unit of volume. The cubic decimeter ($\text{dm}^3$) is equivalent to a liter.

• $1\ \text{dL}^3$: Deciliter cubed is not the same as liter (1 dL = 0.1 L, so $1\ \text{dL}^3=(0.1\ \text{L})^3 = 0.001\ \text{L}^3$, not relevant for 1 L).
• $1\ \text{dm}^3$: By definition, $1\ \text{dm}^3 = 1\ \text{L}$ (since 1 dm = 10 cm, $1\ \text{dm}^3=(10\ \text{cm})^3 = 1000\ \text{cm}^3$, and $1\ \text{cm}^3 = 1\ \text{mL}$, $1000\ \text{mL}=1\ \text{L}$).
• $1\ \text{mL}^3$: Milliliter cubed is not a standard unit for 1 L (1 mL = 0.001 L, $1\ \text{mL}^3=(0.001\ \text{L})^3$, not 1 L).
• $1\ \text{m}^3$: Cubic meter is much larger (1 m = 10 dm, $1\ \text{m}^3=(10\ \text{dm})^3 = 1000\ \text{dm}^3=1000\ \text{L}$, not 1 L).

Answer:

B. $1\ \text{dm}^3$ (assuming the options are labeled as A: $1\ \text{dL}^3$, B: $1\ \text{dm}^3$, C: $1\ \text{mL}^3$, D: $1\ \text{m}^3$)