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Plot a graph of water mass versus water volume and draw the best fit line. Calculate the slope. What is the density of water in grams/cm3 and kg/m3?

March 18, 2026Physics

ScanSolve AI Answer

Answer

1 g/cm^{3}

3 steps

Plot mass of water ( $m$ in g) vs. volume of water ( $V$ in cm³) from the data table.
Draw the best fit line (in green).
Density $\rho$ of water is the slope of the best fit line.
$\rho = \frac{\Delta m}{\Delta V}$
Choose two points on the best fit line, e.g., Point 1
$(V_1 = 10\,\text{cm}^3, m_1 = 10\,\text{g})$ , Point 2: $(V_2 = 30\,\text{cm}^3, m_2 = 30\,\text{g})$ .
$\rho = \frac{m_2 - m_1}{V_2 - V_1} = \frac{30\,\text{g} - 10\,\text{g}}{30\,\text{cm}^3 - 10\,\text{cm}^3} = \frac{20\,\text{g}}{20\,\text{cm}^3} = 1\,\text{g/cm}^3$
The density (slope) of water is $\mathbf{1\,g/cm^3}$ .

1 g/cm^{3}

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