Answer:
the volume of the dice that displaces the 1 mL of water is approximately 1 cm³.
Explanation:
A 6-sided dice is a cube, and each face of the cube is a square. To find the volume of the cube, we need to determine the volume of one of its sides and then multiply it by the number of sides (6 in this case).
Let's assume that the length of each side of the dice is "s."
The volume of the dice can be calculated using the formula: Volume = s^3.
Now, let's consider the displacement of the water. The water level rises by 1 mL, which means the dice occupies a volume of 1 mL.
Equating the volume of the dice to the displaced volume of water:
s^3 = 1 mL
To find the value of "s," we take the cube root of both sides of the equation:
s = ∛(1 mL)
Now, let's convert 1 mL to cm³ since the volume of the dice is typically measured in cubic centimeters.
1 mL = 1 cm³
Therefore, the length of each side of the dice is:
s = ∛1 cm³ ≈ 1 cm
Now, we can calculate the volume of the dice by cubing the length of one side:
Volume of the dice = s^3 = (1 cm)^3 = 1 cm.