Question

40 drawing pins (thumb tacks) like those shown in Figure 1.10 have a mass of 17.55 g. What is the volume (in mm³) of one pin when they are made of metal with a density of 8.7 g/cm³?

Answer 1

To find the volume of one drawing pin, we can use the formula:
Volume = Mass / Density
First, convert the mass of 40 drawing pins to the mass of one pin:
Mass of 1 pin = 17.55 g / 40 = 0.43875 g
Now, plug the values into the formula:
Volume = 0.43875 g / 8.7 g/cm³
Volume = 0.05 cm³
Finally, convert the volume to mm³:
1 cm³ = 1000 mm³
Volume = 0.05 cm³ x 1000 mm³/cm³ = 50 mm³
Therefore, the volume of one drawing pin is 50 mm³.