Question
Apple juice in a glass has a mass of 0.25 kilograms and a volume of 320 cm3 . Which of the following correctly uses this information to calculate the density of the apple juice?
Answers
GPT-4o mini
To calculate the density of a substance, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
In this case, the mass of the apple juice is 0.25 kilograms and the volume is 320 cm³.
First, it's important to convert the mass into grams, since density is commonly expressed in grams per cubic centimeter (g/cm³).
1 kilogram = 1000 grams, so:
\[
0.25 \ \text{kg} = 0.25 \times 1000 \ \text{g} = 250 \ \text{g}
\]
Now we can use the density formula:
\[
\text{Density} = \frac{250 \ \text{g}}{320 \ \text{cm}^3}
\]
Now, carrying out the division:
\[
\text{Density} = \frac{250}{320} \approx 0.78125 \ \text{g/cm}^3
\]
Thus, the density of the apple juice is approximately 0.78 g/cm³.
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
In this case, the mass of the apple juice is 0.25 kilograms and the volume is 320 cm³.
First, it's important to convert the mass into grams, since density is commonly expressed in grams per cubic centimeter (g/cm³).
1 kilogram = 1000 grams, so:
\[
0.25 \ \text{kg} = 0.25 \times 1000 \ \text{g} = 250 \ \text{g}
\]
Now we can use the density formula:
\[
\text{Density} = \frac{250 \ \text{g}}{320 \ \text{cm}^3}
\]
Now, carrying out the division:
\[
\text{Density} = \frac{250}{320} \approx 0.78125 \ \text{g/cm}^3
\]
Thus, the density of the apple juice is approximately 0.78 g/cm³.