In the experiment of density, a student is given five cubes of different sizes a
ID: 1779695 • Letter: I
Question
In the experiment of density, a student is given five cubes of different sizes all made from the same material and asked to find the density of this material. Using a graduated cylinder containing water, volumes may be determined by water displacement. Each cube is places in the cylinder, the water level is recorded. Below tabulated data is measured through the experiment. 50 Close-up view Graduabed cylinder Cube Number Water Level (mL) (a) 4 89.2 67.1 1416212.2 140.1 Mass (g)26.5 51.4 47.955.5 82.9 Plot a straight-line graph of the appropriate variables mass vs volume. (b) (c) (d) (e) Find the slope. Find the density of this material. Find the initial volume of water in the cylinder. Find the length of a side of the largest cube.Explanation / Answer
a) I have found the best fit line from curve fitting and its equation is as follows
y=0.4783*x+ 28.870
where y represents the volume(ml) and x represents the mass (in grams)
b) slope is 0.4783 ml/g
c) at x=0 that is mass =0, we get volume =28.87 ml
this is the initial level of water
then the respective volume of water displaced by it is(cube's own volume),
19.03, 26.63, 38.23, 54.03, 111.23 (all in ml and in order of the data of question)
dividing their respective masses by their volume we get their respective values of densities
1.3925, 1.9301, 2.333, 2.620, 1.907 (all in g/ml and in order of the data in question)
taking their average
average density=2.013 g/ml
d) initial volume of water is equal to intercept= 28.87 ml
e) largest cube must have the largest volume
largest volume=111.23 ml= 1.1123*10-4 m3
its side= (1.1123*10-4)1/3=0.048 m= 4.8 cm