If [tex]$1 \, \text{cm}^3$[/tex] displaces 1 mL of water, what volume of water is displaced by [tex]$100 \, \text{cm}^3$[/tex]?



Answer :

To determine the volume of water displaced by 100 cm³, we need to understand the relationship between cubic centimeters (cm³) and milliliters (mL).

1. Understand the Relationship:
- We know that 1 cm³ of a substance displaces 1 mL of water.
- This means that every cubic centimeter of the substance directly corresponds to an equivalent milliliter of water.

2. Apply the Relationship:
- If 1 cm³ displaces 1 mL of water, we can scale this relationship linearly.
- For any given volume in cubic centimeters, the same numerical value will be the volume of water displaced in milliliters.

3. Calculate the Displaced Volume:
- Given the volume of the substance is 100 cm³, we use the known relationship.
- Since 1 cm³ displaces 1 mL of water, 100 cm³ will displace 100 mL of water.

Therefore, the volume of water displaced by 100 cm³ is 100 mL.