Calculating the Mass of an Ice Cube
What is the mass of an ice cube measuring 5.80 cm by 5.80 cm by 5.80 cm with a density of 0.917 g/mL?
Answer:
The mass of the ice cube is 178.9 g
Explanation:
Density is a measure of how much mass is contained in a given volume. It is calculated by dividing the mass by the volume in mL. In this case, the density of the ice cube is 0.917 g/mL.
First, we need to find the volume of the ice cube. The formula for calculating the volume of a cube is V = s³, where V is the volume and s is the side length. Given that the side length of the ice cube is 5.80 cm, we can calculate the volume by cubing the side length:
Volume = (5.80 cm) x (5.80 cm) x (5.80 cm) = 195.112 cm³ = 195.112 mL
Next, we can calculate the mass of the ice cube using the formula Mass = Density x Volume. Plugging in the values of density and volume, we get:
Mass = 0.917 g/mL x 195.112 mL = 178.9 g
Therefore, the mass of the ice cube is approximately 178.9 grams.