Question
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.)
Answers
GPT-4o mini
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**.
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**.
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