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?(1 point)
Responses
0.00078 g/cm3
0.00078 g per cm cubed
0.78 g/cm3
0.78 g per cm cubed
80 g/cm3
80 g per cm cubed
80,000 g/cm3
80,000 g per cm cubed
Responses
0.00078 g/cm3
0.00078 g per cm cubed
0.78 g/cm3
0.78 g per cm cubed
80 g/cm3
80 g per cm cubed
80,000 g/cm3
80,000 g per cm cubed
Answers
GPT-4o mini
To calculate the density of the apple juice, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Here, the mass of the apple juice is given as 0.25 kilograms, which can be converted to grams (since 1 kilogram = 1000 grams):
\[
0.25 \, \text{kg} = 0.25 \times 1000 \, \text{g} = 250 \, \text{g}
\]
The volume is given as 320 cm³.
Now, plug these values into the density formula:
\[
\text{Density} = \frac{250 \, \text{g}}{320 \, \text{cm}^3}
\]
Calculating this gives:
\[
\text{Density} = 0.78125 \, \text{g/cm}^3
\]
Rounding this to two decimal places gives approximately 0.78 g/cm³.
So, the correct answer from the options provided is:
**0.78 g/cm³**.
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Here, the mass of the apple juice is given as 0.25 kilograms, which can be converted to grams (since 1 kilogram = 1000 grams):
\[
0.25 \, \text{kg} = 0.25 \times 1000 \, \text{g} = 250 \, \text{g}
\]
The volume is given as 320 cm³.
Now, plug these values into the density formula:
\[
\text{Density} = \frac{250 \, \text{g}}{320 \, \text{cm}^3}
\]
Calculating this gives:
\[
\text{Density} = 0.78125 \, \text{g/cm}^3
\]
Rounding this to two decimal places gives approximately 0.78 g/cm³.
So, the correct answer from the options provided is:
**0.78 g/cm³**.