To determine the volume of 22.5 grams of water, given that the density of water is 1 gram per cubic centimeter (g/cm³), we follow these steps:
1. Understand the Relationship Between Mass, Density, and Volume: The basic formula that relates mass, density, and volume is:
[tex]\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\][/tex]
Here:
- Mass (\(m\)) is the amount of matter in the object, measured in grams (g).
- Density (\(\rho\)) is the mass per unit volume of a substance, measured in grams per cubic centimeter (g/cm³).
- Volume (\(V\)) is the amount of space the object occupies, measured in cubic centimeters (cm³).
2. Identify Given Values:
- Mass of water (\(m\)) = 22.5 grams.
- Density of water (\(\rho\)) = 1 g/cm³.
3. Substitute the Values into the Formula:
[tex]\[
V = \frac{m}{\rho}
\][/tex]
Plugging in the known values:
[tex]\[
V = \frac{22.5 \text{ g}}{1 \text{ g/cm}^3}
\][/tex]
4. Calculate the Volume:
When we divide 22.5 grams by the density of water (1 g/cm³), the grams (g) cancel out, leaving us with cubic centimeters (cm³):
[tex]\[
V = \frac{22.5 \text{ g}}{1 \text{ g/cm}^3} = 22.5 \text{ cm}^3
\][/tex]
Therefore, the volume of 22.5 grams of water is 22.5 cubic centimeters.
