To convert days to minutes using dimensional analysis, we start by identifying the conversion factors we will need:
- There are \( 24 \) hours in \( 1 \) day.
- There are \( 60 \) minutes in \( 1 \) hour.
Now we can set up our conversion from days to minutes:
\[ \text{minutes} = 180 , \text{days} \times \frac{24 , \text{hours}}{1 , \text{day}} \times \frac{60 , \text{minutes}}{1 , \text{hour}} \]
Now we will perform the calculation step-by-step:
-
Convert days to hours: \[ 180 , \text{days} \times \frac{24 , \text{hours}}{1 , \text{day}} = 180 \times 24 , \text{hours} = 4320 , \text{hours} \]
-
Convert hours to minutes: \[ 4320 , \text{hours} \times \frac{60 , \text{minutes}}{1 , \text{hour}} = 4320 \times 60 , \text{minutes} = 259200 , \text{minutes} \]
Putting it all together, we find that:
\[ 180 , \text{days} = 259200 , \text{minutes} \]
Thus, there are 259,200 minutes in 180 days.
1 answer