a standard six sided dice measures 16mm per side and has a mass of 5 grams. what is the density
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.
To find the density of the standard six-sided dice, we need to know the mass and volume of the dice.
Given:
Side length of the dice, L = 16mm
Mass of the dice, m = 5g
First, let's calculate the volume (V) of the dice. Since it is a cube, the volume can be calculated using the formula:
V = L^3
V = 16mm x 16mm x 16mm = 4096mm³
Next, let's convert the volume to cm³ since the mass is given in grams:
1cm³ = 1mm³
Therefore, V = 4096cm³
Finally, we can calculate the density (D) using the formula:
D = m/V
D = 5g / 4096cm³
D ≈ 0.0012207 g/cm³
Therefore, the density of the standard six-sided dice is approximately 0.0012207 g/cm³.