Grammage is the mass per unit area of paper. Suppose the printer paper used in an office has a grammage of 80 grams per square meter. To the nearest hundredth of a gram, what is the mass of a single sheet of letter-size printer paper?
A. 4.84 g
B. 7.56 g
C. 48.39 g
D. 75.60 g
80g/m^2 * (8.5in * 11in * 1m^2/1550in^2)/sheet = 4.825 g/sheet
To find the mass of a single sheet of letter-size printer paper, we need to know the area of a single sheet. The standard size of letter-size printer paper is 8.5 inches by 11 inches, which is equivalent to 0.216 meters by 0.279 meters.
To calculate the area of a single sheet of letter-size printer paper, we multiply the length by the width:
Area = 0.216 m * 0.279 m = 0.060264 m^2
Now, we can calculate the mass of a single sheet of letter-size printer paper by multiplying the area by the grammage:
Mass = Area * Grammage = 0.060264 m^2 * 80 g/m^2 = 4.82032 g
Rounding to the nearest hundredth of a gram, the mass of a single sheet of letter-size printer paper is 4.82 g.
Therefore, the correct answer is A. 4.84 g.
To find the mass of a single sheet of letter-size printer paper, we need to know the area of the sheet and the grammage (mass per unit area).
First, let's determine the area of a letter-size sheet of paper. The standard dimensions for letter-size paper are 8.5 inches by 11 inches. To convert these dimensions to meters, we need to divide by the conversion factor of 39.37, since there are 39.37 inches in a meter.
8.5 inches / 39.37 ≈ 0.2159 meters
11 inches / 39.37 ≈ 0.2794 meters
Next, we multiply the length and width of the paper to find the area:
Area = 0.2159 meters × 0.2794 meters ≈ 0.06033 square meters
Finally, we can calculate the mass of a single sheet of paper by multiplying the area (0.06033 square meters) by the grammage (80 grams per square meter):
Mass = 0.06033 square meters × 80 grams per square meter ≈ 4.8264 grams
Rounding to the nearest hundredth of a gram, the mass of a single sheet of letter-size printer paper is 4.83 grams.
Therefore, the correct answer is A. 4.84 g.