UNITS ARE NEEDED FOR FULL CREDIT

The surface area of the bag is 800 sq inches. The overhead bin to put them in is 102x36x33 inches. How many of the bags will fit in the overhead bin?

To find out how many bags will fit in the overhead bin, we need to calculate the volume of the overhead bin and divide it by the surface area of the bag.

The volume of the overhead bin is calculated by multiplying its length, width, and height:

Volume of overhead bin = 102 inches * 36 inches * 33 inches

Volume of overhead bin = 138,744 cubic inches

To find out how many bags will fit in the overhead bin, we need to divide the volume of the overhead bin by the surface area of the bag:

Number of bags = 138,744 cubic inches / 800 square inches

Number of bags = 173.43

Since we cannot have a fraction of a bag, we can say that only 173 bags will fit in the overhead bin.