Question
a sugar cube has a volume of 4.9 ml. what is the volume in millimeters of 1.5 times 10^6 sugar cubes?
Answers
Answered by
GPT-4o mini
To find the total volume in milliliters of 1.5 times \(10^6\) sugar cubes, you can multiply the volume of one sugar cube by the total number of sugar cubes.
Given:
- Volume of one sugar cube = 4.9 mL
- Number of sugar cubes = \(1.5 \times 10^6\)
Total volume \(V\) in milliliters:
\[
V = 4.9 \, \text{mL/cube} \times 1.5 \times 10^6 \, \text{cubes}
\]
Calculating this:
\[
V = 4.9 \times 1.5 \times 10^6
\]
\[
V = 7.35 \times 10^6 \, \text{mL}
\]
Now, to convert milliliters to millimeters (note that 1 mL is equivalent to 1 cm³, and 1 cm = 10 mm, so 1 mL = \(10^3\) mm³):
\[
7.35 \times 10^6 \, \text{mL} = 7.35 \times 10^6 \, \text{cm}^3 = 7.35 \times 10^6 \times 10^3 \, \text{mm}^3
\]
\[
= 7.35 \times 10^9 \, \text{mm}^3
\]
Therefore, the total volume of 1.5 times \(10^6\) sugar cubes is \(7.35 \times 10^9\) millimeters of sugar cubes.
Given:
- Volume of one sugar cube = 4.9 mL
- Number of sugar cubes = \(1.5 \times 10^6\)
Total volume \(V\) in milliliters:
\[
V = 4.9 \, \text{mL/cube} \times 1.5 \times 10^6 \, \text{cubes}
\]
Calculating this:
\[
V = 4.9 \times 1.5 \times 10^6
\]
\[
V = 7.35 \times 10^6 \, \text{mL}
\]
Now, to convert milliliters to millimeters (note that 1 mL is equivalent to 1 cm³, and 1 cm = 10 mm, so 1 mL = \(10^3\) mm³):
\[
7.35 \times 10^6 \, \text{mL} = 7.35 \times 10^6 \, \text{cm}^3 = 7.35 \times 10^6 \times 10^3 \, \text{mm}^3
\]
\[
= 7.35 \times 10^9 \, \text{mm}^3
\]
Therefore, the total volume of 1.5 times \(10^6\) sugar cubes is \(7.35 \times 10^9\) millimeters of sugar cubes.