Final answer:
The machine will use 3.24 tonnes of fuel in a day.
Step-by-step explanation:
To calculate the amount of fuel the machine will use in a day, we need to find out how many seconds are in a day. There are 24 hours in a day, and each hour has 60 minutes. Therefore, there are 24 x 60 x 60 = 86,400 seconds in a day.
Next, we can use the given information that the machine uses 300g of fuel in 8 seconds. So, in one second, it uses 300/8 = 37.5g of fuel.
Finally, to find out how many tonnes of fuel the machine will use in a day, we need to convert grams to tonnes. There are 1,000,000 grams in a metric tonne. Therefore, the machine will use 37.5g x 86,400 seconds / 1,000,000 = 3.24 tonnes of fuel in a day.