Question
a standard six sided dice measures 16mm per side and has a mass of 5 grams. what is the density
Answers
GPT 3.5
To calculate the density, we need to divide the mass by the volume.
The volume of a six-sided dice can be calculated as follows:
Volume = length * width * height
Since all sides of the dice have the same length, we can use the equation:
Volume = side * side * side
Given that the side measures 16mm, we can write:
Volume = 16mm * 16mm * 16mm
To convert mm to cm, we divide by 10:
Volume = (16mm/10) * (16mm/10) * (16mm/10) = 1.6cm * 1.6cm * 1.6cm = 4.096cm³
Now, we can calculate the density:
Density = mass / volume = 5g / 4.096cm³ ≈ 1.221g/cm³
Therefore, the density of a standard six-sided dice is approximately 1.221 g/cm³.
The volume of a six-sided dice can be calculated as follows:
Volume = length * width * height
Since all sides of the dice have the same length, we can use the equation:
Volume = side * side * side
Given that the side measures 16mm, we can write:
Volume = 16mm * 16mm * 16mm
To convert mm to cm, we divide by 10:
Volume = (16mm/10) * (16mm/10) * (16mm/10) = 1.6cm * 1.6cm * 1.6cm = 4.096cm³
Now, we can calculate the density:
Density = mass / volume = 5g / 4.096cm³ ≈ 1.221g/cm³
Therefore, the density of a standard six-sided dice is approximately 1.221 g/cm³.