Bottled water costs $0.55 for a 0.5 liter bottle. What would it cost to fill a bathtub with bottled water. The bathtub holds 7.13 cubic feet of water. (Recall that 1.00 inch = 2.54 cm, and that a liter is exactly 1000 cm3).
7.13 ft^3 = 7.13 ft^3*1728in^3/ft^3*(2.54)^3cm^3/in^3
= 2.019*10^5 cm^3
= 201.9 liters
= 404 half liter bottles
Compute the cost
To determine the cost of filling a bathtub with bottled water, we need to find the volume of water needed in liters and then convert it to the number of bottles required.
First, we need to convert the volume of the bathtub from cubic feet to liters. We know that 1 cubic foot is approximately 28.32 liters. Therefore, the volume of the bathtub in liters is:
7.13 cubic feet * 28.32 liters/cubic foot = 201.7776 liters
Now, we need to calculate the number of 0.5 liter bottles required to fill the bathtub. We can do this by dividing the total volume of water needed by the capacity of a single bottle:
Number of bottles = Volume of water needed / Capacity of a single bottle
= 201.7776 liters / 0.5 liters per bottle
= 403.5552 bottles
Since we can't have a fraction of a bottle, we round up to the nearest whole number. Therefore, we would need 404 bottles to fill the bathtub with water.
Now, we can find the cost by multiplying the number of bottles by the cost per bottle:
Cost = Number of bottles * Cost per bottle
= 404 bottles * $0.55/bottle
= $222.20
So, it would cost $222.20 to fill the bathtub with bottled water.