Answered

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What is the mass of [tex]1 \, \text{cm}^3[/tex] of water?

Sagot :

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.
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