A perfectly square ice cube measures 3cm on each side.It has a mass of 24.6g.Whatcis the density of the ice cube.

0.9 g/cm^3

A perfectly square ice cube measures 3cm on each side.It has a mass of 24.6g.Whatcis the density of the ice cube.

To find the density of the ice cube, we need to divide its mass by its volume. The volume of a cube can be calculated by raising the length of one side to the power of 3.

In this case, the side length of the ice cube is 3 cm, so the volume can be calculated as follows:

Volume = (Side length)^3
Volume = 3 cm * 3 cm * 3 cm
Volume = 27 cm^3

Next, we divide the mass of the ice cube by its volume to find the density:

Density = Mass / Volume
Density = 24.6 g / 27 cm^3

To calculate the density, we need to make sure the units are consistent. Since the volume is in cubic centimeters (cm^3), we should convert the mass from grams (g) to cubic centimeters (cm^3).

The conversion depends on the density of water, which happens to be 1 g/cm^3. By dividing the mass in grams by the density of water, we can convert it to cubic centimeters.

So, we have:

Density = 24.6 g / (27 cm^3 × 1 g/cm^3)
Density = 0.9111 g/cm^3

Therefore, the density of the ice cube is 0.9111 g/cm^3.