What is the length of a perfect ice cube with a mass of 178.92 g and a density of 0.917 g/cm³?
The length of the perfect ice cube is 5.8 cm.
Calculation Steps:
To find the length of the perfect ice cube, we need to use the formula:
mass = volume x density
Substitute all given values into the formula:
178.92 g = volume x 0.917 g/cm³
Since volume is the cube of the length:
volume = (length)³
Substitute the volume equation into the mass formula:
178.92 = (length)³ x 0.917
Solve for the volume:
195.125 = (length)³
Take the cube root of 195.125 to find the length:
∛195.125 = length
length ≈ 5.8 cm
Therefore, the length of the perfect ice cube is 5.8 cm.