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 how many bags will fit in the overhead bin, we need to divide the surface area of the bin by the surface area of the bag.
The surface area of the bin is 2(LW + LH + WH).
The surface area of the bag is given as 800 sq inches, so:
2(LW + LH + WH) = 800.
L = 102 inches, W = 36 inches, and H = 33 inches.
2(102*36 + 102*33 + 36*33) = 800.
2(3672 + 3366 + 1188) = 800.
2(8226) = 800.
16452 = 800.
So, 800 square inches does not equal 16452 square inches.
Therefore, the given information is not consistent.