A Cube of Ice Melts: How Much Water is Obtained?

When the ice cube melts, it will yield 148.826 mL of water.

Density vs Volume

Given:

Density of ice (d_ice): 0.917 g/mL

Density of water (d_water): 1.00 g/mL

Side length of the ice cube: 2.09 inches

First, we need to convert the side length from inches to centimeters (cm):

2.09 inches * 2.54 cm/inch = 5.3086 cm

The volume of the ice cube can be calculated by raising the side length to the power of 3 (since it's a cube):

Volume of ice: (5.3086 cm)³ = 148.826 cm³

To convert the volume from cm³ to mL, we use the fact that 1 cm³ is equal to 1 mL. Therefore:

Volume of ice: 148.826 mL

Since the ice cube is initially at 0°C and then melts to become water at 0°C, the volume of water obtained when the ice melts will be equal to the volume of the ice cube, which is 148.826 mL.

Therefore, when the ice cube melts, it will yield 148.826 mL of water.