Answer :
To determine the mass of 1 cubic centimeter (cm³) of water, we need to consider the density of water.
Density is defined as mass per unit volume.
For water at standard conditions (4°C and 1 atmosphere of pressure), the density is:
[tex]\[ \text{Density of water} = 1 \, \text{gram per cubic centimeter} (g/cm³) \][/tex]
Given:
[tex]\[ \text{Volume} = 1 \, \text{cm}^3 \][/tex]
Using the formula for density:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
We rearrange the formula to solve for mass:
[tex]\[ \text{Mass} = \text{Density} \times \text{Volume} \][/tex]
Substituting the given values:
[tex]\[ \text{Mass} = 1 \, \text{g/cm}^3 \times 1 \, \text{cm}^3 \][/tex]
Thus, the mass of 1 cm³ of water is:
[tex]\[ \text{Mass} = 1 \, \text{gram} \][/tex]
Therefore, the mass of 1 cubic centimeter of water is 1 gram.
Density is defined as mass per unit volume.
For water at standard conditions (4°C and 1 atmosphere of pressure), the density is:
[tex]\[ \text{Density of water} = 1 \, \text{gram per cubic centimeter} (g/cm³) \][/tex]
Given:
[tex]\[ \text{Volume} = 1 \, \text{cm}^3 \][/tex]
Using the formula for density:
[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]
We rearrange the formula to solve for mass:
[tex]\[ \text{Mass} = \text{Density} \times \text{Volume} \][/tex]
Substituting the given values:
[tex]\[ \text{Mass} = 1 \, \text{g/cm}^3 \times 1 \, \text{cm}^3 \][/tex]
Thus, the mass of 1 cm³ of water is:
[tex]\[ \text{Mass} = 1 \, \text{gram} \][/tex]
Therefore, the mass of 1 cubic centimeter of water is 1 gram.
