A Perfect Ice Cube: What is the Length?

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.
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