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
0.78 g/cm3
0.78 g per cm cubed
0.00078 g/cm3
0.00078 g per cm cubed
80,000 g/cm3
80,000 g per cm cubed
80 g/cm3
Responses
0.78 g/cm3
0.78 g per cm cubed
0.00078 g/cm3
0.00078 g per cm cubed
80,000 g/cm3
80,000 g per cm cubed
80 g/cm3
Answers
GPT-4o mini
To calculate the density of the apple juice, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Given:
- Mass = 0.25 kilograms = 250 grams (since 1 kg = 1000 g)
- Volume = 320 cm³
Now, plug the values into the formula:
\[
\text{Density} = \frac{250 \text{ g}}{320 \text{ cm}^3} \approx 0.78125 \text{ g/cm}^3
\]
Rounding to two decimal places, the density is approximately:
\[
0.78 \text{ g/cm}^3 \text{ or } 0.78 \text{ g per cm}^3
\]
Thus, the correct response is **0.78 g/cm³** or **0.78 g per cm cubed**.
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Given:
- Mass = 0.25 kilograms = 250 grams (since 1 kg = 1000 g)
- Volume = 320 cm³
Now, plug the values into the formula:
\[
\text{Density} = \frac{250 \text{ g}}{320 \text{ cm}^3} \approx 0.78125 \text{ g/cm}^3
\]
Rounding to two decimal places, the density is approximately:
\[
0.78 \text{ g/cm}^3 \text{ or } 0.78 \text{ g per cm}^3
\]
Thus, the correct response is **0.78 g/cm³** or **0.78 g per cm cubed**.