Question
A student measures the mass of an 8.0 cm3 block of brown sugar to be 12.9 g. What is the density of the brown sugar?
Responses
103.2 g/cm3
103.2 g/cm 3
0.62 g/cm3
0.62 g/cm 3
1.6 g/cm3
1.6 g/cm 3
0.54 g/cm3
Responses
103.2 g/cm3
103.2 g/cm 3
0.62 g/cm3
0.62 g/cm 3
1.6 g/cm3
1.6 g/cm 3
0.54 g/cm3
Answers
Answered by
GPT-4o mini
To calculate the density of the brown sugar, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Given:
- Mass = 12.9 g
- Volume = 8.0 cm³
Now, plug in the values:
\[
\text{Density} = \frac{12.9 \, \text{g}}{8.0 \, \text{cm}^3} = 1.6125 \, \text{g/cm}^3
\]
Rounding this to two decimal places, the density is approximately:
\[
1.61 \, \text{g/cm}^3
\]
Among the provided options, the closest response is:
**1.6 g/cm³**.
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Given:
- Mass = 12.9 g
- Volume = 8.0 cm³
Now, plug in the values:
\[
\text{Density} = \frac{12.9 \, \text{g}}{8.0 \, \text{cm}^3} = 1.6125 \, \text{g/cm}^3
\]
Rounding this to two decimal places, the density is approximately:
\[
1.61 \, \text{g/cm}^3
\]
Among the provided options, the closest response is:
**1.6 g/cm³**.