# use the data below to make a graph that shows the relationship between the mass and volume of aluminum samples of differant sizes. Plot mass on the y-axis, and plot volume on the x-axis. What does...

use the data below to make a graph that shows the relationship between the mass and volume of aluminum samples of differant sizes. Plot mass on the y-axis, and plot volume on the x-axis. What does the shape of the graph tell u about the density of aluminum?

block number mass (g) volume (cm cubed)

1 1.20 .443

2 3.59 1.33

3 5.72 2.12

4 12.4 4.60

5 15.3 5.66

6 19.4 7.17

7 22.7 8.41

8 24.1 8.94

9 34.0 12.6

10 36.4 13.5

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### 1 Answer

A small sample graph of mass vs volume is shown in the attached image.

We know that the density of an object is its mass divided by its volume. This relationship is linear (the data points are along a straight line). Because of measurement errors, we typically use multiple size samples of the same material and use the measurement results to obtain a more accurate real-world (empirical) answer. Using the measurements of mass and volume for multiple samples, plotting the measurements and drawing a "best-fit" line will give you a graphical representation of a line with a slope which is the average density of the samples. The graph can be used to interpolate the mass or volume of other samples.

A full size graph of the data should be drawn to show the results more accurately.