An empty container weighs 20g . After it is filled with water, the container weighs 60g. Calculate the volume of the water in the container (density of water is 1g/cm3.)

1 answer

To find the volume of the water in the container, we first need to determine the weight of the water itself.

  1. Find the weight of the water:
    The weight of the full container is 60g, and the weight of the empty container is 20g. Therefore, the weight of the water is:

    \[ \text{Weight of water} = \text{Weight of full container} - \text{Weight of empty container} = 60g - 20g = 40g \]

  2. Calculate the volume of the water:
    Using the density formula, we know that:

    \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

    Given that the density of water is \(1 , \text{g/cm}^3\), we can rearrange the formula to find the volume:

    \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]

    Substituting the mass of the water and the density into the equation:

    \[ \text{Volume} = \frac{40g}{1g/cm^3} = 40 , cm^3 \]

Therefore, the volume of the water in the container is 40 cm³.