Sure, let's solve this step-by-step.
1. Determine the mass of the water:
- The mass of the empty container is 60 grams.
- The mass of the container filled with water is 89 grams.
- To find the mass of the water, subtract the mass of the empty container from the mass of the filled container:
[tex]\[
\text{mass of water} = \text{mass of full container} - \text{mass of empty container} = 89\, \text{g} - 60\, \text{g} = 29\, \text{g}
\][/tex]
2. Use the density of water to find the volume of the water:
- The density of water is given as [tex]\( 1 \text{ g/cm}³ \)[/tex].
- To find the volume, use the formula for density which is:
[tex]\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\][/tex]
Rearrange this formula to solve for volume:
[tex]\[
\text{Volume} = \frac{\text{Mass}}{\text{Density}}
\][/tex]
Substituting in the values for mass and density:
[tex]\[
\text{Volume} = \frac{29\, \text{g}}{1\, \text{g/cm}³} = 29\, \text{cm}³
\][/tex]
So, the volume of the container is [tex]\( 29 \, \text{cm}³ \)[/tex].
