Steve pored six 2 liter bottles of apple juice into an empty rectangular drink dispenser measuring 40 centimeters long and 20 centimeters wide. Calculate the interior area of the dispenser that is in contact with the apple juice. 1 L is 1000cm3
40*20*h = 12000
h = 15
so, you want the surface of the bottom and sides of a box
40x20x15 cm.
To calculate the interior area of the drink dispenser in contact with the apple juice, we first need to determine the volume of the apple juice that has been poured into the dispenser.
Given that each bottle contains 2 liters (2000 cm³) of apple juice and Steve poured six bottles, we can calculate the total volume of apple juice as follows:
Total volume of apple juice = 2 liters/bottle * 6 bottles
= 12 liters
Since 1 liter is equal to 1000 cm³, we can convert the volume of the apple juice from liters to cubic centimeters:
Total volume of apple juice in cm³ = Total volume of apple juice * 1000 cm³/liter
= 12 liters * 1000 cm³/liter
= 12,000 cm³
Now that we have the volume of the apple juice, we can calculate the interior area of the drink dispenser in contact with the juice.
The interior area of a rectangular object is given by the product of its length and width.
Given that the length of the drink dispenser is 40 centimeters and the width is 20 centimeters, we can calculate the interior area by multiplying these two values:
Interior area = length * width
= 40 cm * 20 cm
= 800 cm²
Therefore, the interior area of the dispenser that is in contact with the apple juice is 800 cm².