1. The measurement turned out to be so expensive since the student did not rely on the significant figures to calculate the edge of the cube and approximate it to the next value (2.1 cm possibly) that would allow a simpler construction and therefore its cost was much lower .
2. The student had to take all the significant figures in his calculations, with which he would have:
[tex]Volume = \frac{mass}{density}[/tex]
[tex]Volume = \frac{80g}{8.67g/mL}[/tex]
Volume = 9.2272203 mL
Since the figure to be constructed is a cube, he had to calculate the cube root of the volume to find the value of the edge of the cube:
Edge of the cube = [tex]\sqrt[3]{9.2272203 cm^{3} }[/tex] (Taking into account that [tex]cm^{3}[/tex] is proportional to mL)
Edge of the cube = 2.097443624 cm
Because the cube edge value is so specific, in order to manage his budget, he was able to order a 2.1 cm cube, which would bring the mass up to 80.29287 g, and in the lab reduce one of the faces to the appropriate weight. .
On the other hand, the main thing he had to do was ask how much it would cost to make a cube with those specifications, especially when they mentioned that it would be "expensive" and he only had $50.
The significant figures guarantee the correct operation of a machinery, a gear, a team in general, for which the accuracy will not only be taken to the millimeter, but sometimes microns or much more specific, as in the case of computer components, Therefore, it is very important, if not, and if arbitrary measurements are taken that do not consider significant figures, the components could not function properly, which would cause a loss in time, effort and manpower.
If you want to learn more about exercises with significant figures, you can see the next link: https://brainly.com/question/11904364?referrer=searchResults
